Excel question again around dates

Hello,
I have an excel document with two sheets, sheet1 contains a list of product codes in column A and a date next to each in column B. Sheet2 is almost the same but with different dates and some products aren't on the list.

For each product code - In column C on sheet one I want to find the same product code from sheet2 and pick up the date next to it if it is greater than the date in column B. If there is no match I was going to leave the cell blank.

I've tried index/match with if statements and lookups but with no success

Any ideas.... Thanks in advance