Finding the Third Proportional to 31,323 and 69,397.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,323 : 69,397.50 = 69,397.50 : x
2. Step 2: Convert to fraction form
   31,323/69,397.50 = 69,397.50/x
3. Step 3: Cross multiply
   31,323x = 69,397.50 × 69,397.50
4. Step 4: Simplify right side
   31,323x = 4,816,013,006.25
5. Step 5: Solve for x
   x = 4,816,013,006.25/31,323
6. Step 6: Final answer
   x = 153,753.25