Some of the Kimbers have very light profile barrels that heat up very quickly and rely on pressure point bedding at muzzle end of stock to counter some of the barrel whip. If its the 3rd shot consistently then I'd be looking at the rifle bedding. is the bbl free floated ? or is it touching at the pressure points ? if its very close to touching the pressure points then as the barrel heats up you could find it then does touch and that will produce flyers.
Try waiting 2 or 3 mins or longer between shots to let bbl cool. If this removes the flyer then that would support my suggestion above.
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