Adding up a row of numbers until they are > than a cell and then return adjacent date

I think I need match index offset sum, but I have no idea in what sequence.

I have dates in cell F2:S2, Numbers in cells F3:S3, Reference cell is c3.

In cell B3 I need a formula that will add up F3 to U3 until they are greater than cell C3, and then return the corresponding date in cell F2:U2 which ever date is adjacent to the number at the time its total is greater than C3.

I hope this is clear.Book3.xlsx

Thanks PauleyB, I did add the Helper Row below the date, but I ended up using this

=+IF(ISERROR(INDEX(F2:S2,MATCH(TRUE,F4:AL4>C3,0))),"",INDEX(F2:S2,MATCH(TRUE,F4:AL4>C3,0)))

entered as an array, to make matters worse, I needed to put it into Visual basic and it ended up looking like this

Selection.FormulaArray = _
"=+IF(ISERROR(INDEX(R[-1]C[4]:R[-1]C[17],MATCH(TRUE,R[1]C[4]:R[1]C[36]>RC[1],0))),"""",INDEX(R[-1]C[4]:R[-1]C[17],MATCH(TRUE,R[1]C[4]:R[1]C[36]>RC[1],0)))"

Your suggestion of the helper row was great, I just wished I could do a formula getting around that, but all is good.

thanks again.