Finding the Third Proportional to 31,442.25 and 47,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,442.25 : 47,568.50 = 47,568.50 : x
2. Step 2: Convert to fraction form
   31,442.25/47,568.50 = 47,568.50/x
3. Step 3: Cross multiply
   31,442.25x = 47,568.50 × 47,568.50
4. Step 4: Simplify right side
   31,442.25x = 2,262,762,192.25
5. Step 5: Solve for x
   x = 2,262,762,192.25/31,442.25
6. Step 6: Final answer
   x = 71,965.66