Finding the Third Proportional to 54,366 and 76,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,366 : 76,559.50 = 76,559.50 : x
2. Step 2: Convert to fraction form
   54,366/76,559.50 = 76,559.50/x
3. Step 3: Cross multiply
   54,366x = 76,559.50 × 76,559.50
4. Step 4: Simplify right side
   54,366x = 5,861,357,040.25
5. Step 5: Solve for x
   x = 5,861,357,040.25/54,366
6. Step 6: Final answer
   x = 107,812.92