1. **State the problem:** We need to find the pivot element in the simplex tableau after identifying the pivot column. 2. **Recall the simplex method rule for pivot element:** The pivot element is the entry in the pivot column that allows the minimum positive ratio of the right-hand side (RHS) to the pivot column's positive entries. 3. **Calculate the ratios:** For each row, compute $\frac{\text{RHS}}{\text{pivot column entry}}$ only if the pivot column entry is positive. 4. **Select the smallest positive ratio:** The row with the smallest positive ratio determines the pivot element. 5. **Conclusion:** The pivot element is the entry in the pivot column corresponding to the smallest positive ratio row.