Finding the Third Proportional to 41,538 and 62,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,538 : 62,802.50 = 62,802.50 : x
2. Step 2: Convert to fraction form
   41,538/62,802.50 = 62,802.50/x
3. Step 3: Cross multiply
   41,538x = 62,802.50 × 62,802.50
4. Step 4: Simplify right side
   41,538x = 3,944,154,006.25
5. Step 5: Solve for x
   x = 3,944,154,006.25/41,538
6. Step 6: Final answer
   x = 94,952.91