Finding the Third Proportional to 54,384 and 84,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,384 : 84,040.50 = 84,040.50 : x
2. Step 2: Convert to fraction form
   54,384/84,040.50 = 84,040.50/x
3. Step 3: Cross multiply
   54,384x = 84,040.50 × 84,040.50
4. Step 4: Simplify right side
   54,384x = 7,062,805,640.25
5. Step 5: Solve for x
   x = 7,062,805,640.25/54,384
6. Step 6: Final answer
   x = 129,869.18