Leave Loop When Condition Met

I am writing a very simple Do While loop where VBA searches for the first nonempty cell in a column starting from cell C3. The error I get is "Overflow". I suspect that when all cells are empty it goes down the column till the last cell, which is around 65,000. How can I put a restriction on this loop? I need the search to be restricted to range C3:C95, because my data ends in row 95. In other words, the code essentially should do this: go from cell C3 to cell C95 and search for the first nonempy cell in this range. When you find the first nonempty cell, assign name "x" to this first nonempty cell.