Finding the Third Proportional to 36,892.50 and 81,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,892.50 : 81,537.50 = 81,537.50 : x
2. Step 2: Convert to fraction form
   36,892.50/81,537.50 = 81,537.50/x
3. Step 3: Cross multiply
   36,892.50x = 81,537.50 × 81,537.50
4. Step 4: Simplify right side
   36,892.50x = 6,648,363,906.25
5. Step 5: Solve for x
   x = 6,648,363,906.25/36,892.50
6. Step 6: Final answer
   x = 180,209.09