Finding the Third Proportional to 54,139.50 and 83,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,139.50 : 83,668.50 = 83,668.50 : x
2. Step 2: Convert to fraction form
   54,139.50/83,668.50 = 83,668.50/x
3. Step 3: Cross multiply
   54,139.50x = 83,668.50 × 83,668.50
4. Step 4: Simplify right side
   54,139.50x = 7,000,417,892.25
5. Step 5: Solve for x
   x = 7,000,417,892.25/54,139.50
6. Step 6: Final answer
   x = 129,303.33