Finding the Third Proportional to 54,013.50 and 81,766.55

Step by Step Solution

1. Step 1: Write the proportion equation
   54,013.50 : 81,766.55 = 81,766.55 : x
2. Step 2: Convert to fraction form
   54,013.50/81,766.55 = 81,766.55/x
3. Step 3: Cross multiply
   54,013.50x = 81,766.55 × 81,766.55
4. Step 4: Simplify right side
   54,013.50x = 6,685,768,187.86
5. Step 5: Solve for x
   x = 6,685,768,187.86/54,013.50
6. Step 6: Final answer
   x = 123,779.58