Finding the Third Proportional to 31,566.50 and 69,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,566.50 : 69,359.50 = 69,359.50 : x
2. Step 2: Convert to fraction form
   31,566.50/69,359.50 = 69,359.50/x
3. Step 3: Cross multiply
   31,566.50x = 69,359.50 × 69,359.50
4. Step 4: Simplify right side
   31,566.50x = 4,810,740,240.25
5. Step 5: Solve for x
   x = 4,810,740,240.25/31,566.50
6. Step 6: Final answer
   x = 152,400.18