I was having this problem with my Rem 700 WM Two shots then the third was a flyer. The gunsmith called it a two shot gun. What funny is it didn't do this at first.
I sent it off for a new barrel.
(In my humblest voice) I'm still interested in what I asked earlier. What happens if you do a group of 10 shots, not 3?
There may end up being just as many bullet holes over by shot #3.
Therefore that #3 might not be a "flyer". That may just be your "accuracy".
I'm not implying that a rifle cannot be accurate if so far you have experienced a #3 "flyer". However shooting a group of 10 shots might reveal more to the story.
Flyers can only be caused by a handful of things. The barrel is getting hot. The barrel is touching the forearm at some point. Something in the rifle system is loose and moving, bad receiver bedding, receiver bolts, scope mounts, etc. You may not actually be shooting ammo that is in the accuracy node for that rifle. The shooter is not realizing he is doing it when firing the rifle (flinching). Scope parallax issues. The shooter may not be holding the rifle in a consistent manner.
I'm surely not trying to offend the original poster or yourself. I am by far, not an expert or a gunsmith. But every example above has had me frustrated at some point, before I figured it out.
And I have come to realize that I don't have flyers. The flyers have to be counted as part of the group. The entire group, including the flyers is your real accuracy.