Finding the Third Proportional to 31,287 and 47,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,287 : 47,704.50 = 47,704.50 : x
2. Step 2: Convert to fraction form
   31,287/47,704.50 = 47,704.50/x
3. Step 3: Cross multiply
   31,287x = 47,704.50 × 47,704.50
4. Step 4: Simplify right side
   31,287x = 2,275,719,320.25
5. Step 5: Solve for x
   x = 2,275,719,320.25/31,287
6. Step 6: Final answer
   x = 72,736.90