Finding the Third Proportional to 31,734 and 68,753.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,734 : 68,753.25 = 68,753.25 : x
2. Step 2: Convert to fraction form
   31,734/68,753.25 = 68,753.25/x
3. Step 3: Cross multiply
   31,734x = 68,753.25 × 68,753.25
4. Step 4: Simplify right side
   31,734x = 4,727,009,385.56
5. Step 5: Solve for x
   x = 4,727,009,385.56/31,734
6. Step 6: Final answer
   x = 148,957.25