Finding the Third Proportional to 31,329 and 48,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,329 : 48,565.50 = 48,565.50 : x
2. Step 2: Convert to fraction form
   31,329/48,565.50 = 48,565.50/x
3. Step 3: Cross multiply
   31,329x = 48,565.50 × 48,565.50
4. Step 4: Simplify right side
   31,329x = 2,358,607,790.25
5. Step 5: Solve for x
   x = 2,358,607,790.25/31,329
6. Step 6: Final answer
   x = 75,285.13