batter interference with ball thrown by fielder

[Alan G]

Maybe my reading comprehension score is weak, but I understood that the batter hit the ball when the shortstop threw it back towards the catcher.

Here's what I have:

If the pitch struck him out, then he was out. (And if he was struck out, obviously that was not the third out here, or there would be no question.) Then he interfered on the throw back, so R3 is out, too.

If the pitch did not strike him out, then R3 is out unless there were two outs to begin with. Then the batter is out.

(The batter did swing at the shortstop's throw didn't he?)