Large function with if criteria

Hello,

I have a data set where I am trying to find the nth largest value based on one criteria? How would one use do this using the large function?

Example:

Dept. Name / Widgets
ABC / 10
ABC / 8
XYZ / 9
ABC 7
ABC / 3
XYZ / 4

If I need the third most widget production of Dept ABC, the formula return 7.

Many thanks in advance for any assistance you can provide.