Finding the Third Proportional to 31,957 and 69,745

Step by Step Solution

1. Step 1: Write the proportion equation
   31,957 : 69,745 = 69,745 : x
2. Step 2: Convert to fraction form
   31,957/69,745 = 69,745/x
3. Step 3: Cross multiply
   31,957x = 69,745 × 69,745
4. Step 4: Simplify right side
   31,957x = 4,864,365,025
5. Step 5: Solve for x
   x = 4,864,365,025/31,957
6. Step 6: Final answer
   x = 152,215.95