How to compare to columns for first > number and return results from a third colum

Hi guys!

What I would like to do is to be able to compare the numbers in column Y to the numbers in Column X, find the first instance where Y is > X (in this case 13) and then return the corresponding result that is located in the same row but in column Z ie 6 in this case. I can do it with a helper column that uses IF and then a simple Index-Match from there but I was wondering if there is a way to do it all in one formula?

Z X Y
1 5 2
2 6 3
3 7 6
4 8 7
5 9 8
6 10 13
7 11 15
8 12 17

Thank you!!!

Chin