Finding the Third Proportional to 31,554 and 47,560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,554 : 47,560.50 = 47,560.50 : x
2. Step 2: Convert to fraction form
   31,554/47,560.50 = 47,560.50/x
3. Step 3: Cross multiply
   31,554x = 47,560.50 × 47,560.50
4. Step 4: Simplify right side
   31,554x = 2,262,001,160.25
5. Step 5: Solve for x
   x = 2,262,001,160.25/31,554
6. Step 6: Final answer
   x = 71,686.67