Finding the Third Proportional to 31,749 and 69,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,749 : 69,724.50 = 69,724.50 : x
2. Step 2: Convert to fraction form
   31,749/69,724.50 = 69,724.50/x
3. Step 3: Cross multiply
   31,749x = 69,724.50 × 69,724.50
4. Step 4: Simplify right side
   31,749x = 4,861,505,900.25
5. Step 5: Solve for x
   x = 4,861,505,900.25/31,749
6. Step 6: Final answer
   x = 153,123.12