Finding the Third Proportional to 54,039 and 81,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,039 : 81,802.50 = 81,802.50 : x
2. Step 2: Convert to fraction form
   54,039/81,802.50 = 81,802.50/x
3. Step 3: Cross multiply
   54,039x = 81,802.50 × 81,802.50
4. Step 4: Simplify right side
   54,039x = 6,691,649,006.25
5. Step 5: Solve for x
   x = 6,691,649,006.25/54,039
6. Step 6: Final answer
   x = 123,829.99