Finding the Third Proportional to 31,800 and 47,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,800 : 47,686.50 = 47,686.50 : x
2. Step 2: Convert to fraction form
   31,800/47,686.50 = 47,686.50/x
3. Step 3: Cross multiply
   31,800x = 47,686.50 × 47,686.50
4. Step 4: Simplify right side
   31,800x = 2,274,002,282.25
5. Step 5: Solve for x
   x = 2,274,002,282.25/31,800
6. Step 6: Final answer
   x = 71,509.51