Finding the Third Proportional to 47,732.50 and 72,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,732.50 : 72,854.50 = 72,854.50 : x
2. Step 2: Convert to fraction form
   47,732.50/72,854.50 = 72,854.50/x
3. Step 3: Cross multiply
   47,732.50x = 72,854.50 × 72,854.50
4. Step 4: Simplify right side
   47,732.50x = 5,307,778,170.25
5. Step 5: Solve for x
   x = 5,307,778,170.25/47,732.50
6. Step 6: Final answer
   x = 111,198.41