Like the added description of another play!
Because that could be more like a grounder to the outfielder than it would be a fly ball line shot to the Outfield.
Do think that shortstop and third base can be interchangeable on that side of the field.
Communication by the infielders necessary.
Am i misunderstanding the description of the OP scenario?
I read it as a line drive or one hopper through the infield in the 5-6 hole. If the ball is up the middle the center fielder would field the ball. If the ball was down the third base line the throw should be coming into 2nd base or 3rd base depending on how far it was hit.