Finding the Third Proportional to 31,223.50 and 47,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,223.50 : 47,617.50 = 47,617.50 : x
2. Step 2: Convert to fraction form
   31,223.50/47,617.50 = 47,617.50/x
3. Step 3: Cross multiply
   31,223.50x = 47,617.50 × 47,617.50
4. Step 4: Simplify right side
   31,223.50x = 2,267,426,306.25
5. Step 5: Solve for x
   x = 2,267,426,306.25/31,223.50
6. Step 6: Final answer
   x = 72,619.22