Finding the Third Proportional to 31,737 and 68,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,737 : 68,935.50 = 68,935.50 : x
2. Step 2: Convert to fraction form
   31,737/68,935.50 = 68,935.50/x
3. Step 3: Cross multiply
   31,737x = 68,935.50 × 68,935.50
4. Step 4: Simplify right side
   31,737x = 4,752,103,160.25
5. Step 5: Solve for x
   x = 4,752,103,160.25/31,737
6. Step 6: Final answer
   x = 149,733.85