Finding the Third Proportional to 51,882 and 72,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,882 : 72,861.50 = 72,861.50 : x
2. Step 2: Convert to fraction form
   51,882/72,861.50 = 72,861.50/x
3. Step 3: Cross multiply
   51,882x = 72,861.50 × 72,861.50
4. Step 4: Simplify right side
   51,882x = 5,308,798,182.25
5. Step 5: Solve for x
   x = 5,308,798,182.25/51,882
6. Step 6: Final answer
   x = 102,324.47