Here's some DIFFERENT advice from a 5-time U.S. National Champion in 3-cushion. Allen Gilbert had the best force follow I've ever seen, in that I could do the same shot as him, but he would hit it 25% softer and the cue ball would amazingly go just as far. I took lessons from him for a couple of years in the 90's, and his advice was mostly as has been discussed. Yes, the wrist should be loose, but MORE than that is to use a bit of wrist flick, or snap, if it's in your arsenal. This absolutely adds stroke, but don't overdo it, or your stroke becomes unnatural. A strong follow through is essential (even though many believe the ball leaves almost instantly and it doesn't matter). I don't know about others, but the two shots below I couldn't have made without the extra long follow through.
Here's what he suggested contrary to the comments above: add a touch of elevation. I have experimented with this very, very carefully, and I am as certain as I can be that he is absolutely right. In my shots below you will see just a "touch" of elevation -- you do not want any more, or it becomes a bit of a jump shot, and you can lose accuracy. Allen never said why, but my belief is that the cue ball leaves the table just a tiny amount, which lessens the time the cloth applies friction to reduce your action. There are many shots which use exactly this principle: not at all a jump shot, but a trace of elevation to reduce friction, or even just "lighten" the ball a little bit to reduce drag from the cloth. Note that this effect happens even with a perfectly level cue!, as there is still a downward vector into the cloth (a line from the contact point downward through the center of the ball). In fact, a perfectly level cue with two tips of high struck hard leaves the table every time, but people just don't see it (if you don't believe me, put a penny two inches away from the cue ball and the cue ball will hop right over it).
Another key for me is to NOT over-power the shot! I prefer to make the shot with "stroke," and NOT max power and muscles. This shot is NOT struck terribly hard, but it has all the action you could want.
https://youtu.be/qyxoFSAJoc0
This pool shot is the same. Very slight elevation, long follow through, good wrist action, and no more power than necessary. Technique is the answer, not muscles.
https://youtu.be/qxbYjfEHGEY
Three final points, not mentioned in this thread before. First, a longer than usual bridge length helps, as it gives you more time to build acceleration. Second is (as always) a "slow last stroke." If you pull back hard, you almost always pull the cue off line, and then your muscles get confused with the transition forward. There's no sense getting the action you need if you don't deliver whitey where it needs to go. Third is to use ALL of your bridge length!! A VERY common problem I have seen with my students trying to learn this is that they are nervous about finding the power and stroke necessary, so they rush the last stroke, and pull back only a fraction of the warm-up strokes they just did. This naturally lessens the time available for acceleration, and you hit the cue ball with less velocity, and therefore get less action. You'll know you're doing this shot right when you see the cue ball "leap" forward, as in these two shots above. Don't think "power;" think smooth, silky, loose ... and just "stroke" it. This may sound like advice from the Buddhist monk that talks in riddles, but it's true. If you're having trouble with this shot, loosen that death grip, back off on the power, elevate slightly, and concentrate on a smooth stroke with a very loose wrist and a long follow through.