Finding the Third Proportional to 37,612.50 and 82,605

Step by Step Solution

1. Step 1: Write the proportion equation
   37,612.50 : 82,605 = 82,605 : x
2. Step 2: Convert to fraction form
   37,612.50/82,605 = 82,605/x
3. Step 3: Cross multiply
   37,612.50x = 82,605 × 82,605
4. Step 4: Simplify right side
   37,612.50x = 6,823,586,025
5. Step 5: Solve for x
   x = 6,823,586,025/37,612.50
6. Step 6: Final answer
   x = 181,418.04