Prove that X, A, and Y lie in a straight line using triangle medians

[Jarvis Bull Dawg]

This is question I am really stuck with, please help if you can. (Its by indirect proof).
Question: The medians BD and CE in triangle ABC are produced to X and Y respectively so that BD = DX and CE = EY. Prove that X, A, and Y lie in a straight line.

 

[Jarvis Bull Dawg]

Here is what I have so far:

 

[ivybond]

No need in absurdum!

Connect C and X and see what helpful figure you are getting.
Same for B and Y.
Precise drawing would help.