Finding the Third Proportional to 31,755 and 67,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,755 : 67,729.50 = 67,729.50 : x
2. Step 2: Convert to fraction form
   31,755/67,729.50 = 67,729.50/x
3. Step 3: Cross multiply
   31,755x = 67,729.50 × 67,729.50
4. Step 4: Simplify right side
   31,755x = 4,587,285,170.25
5. Step 5: Solve for x
   x = 4,587,285,170.25/31,755
6. Step 6: Final answer
   x = 144,458.67