Finding the Third Proportional to 37,598.50 and 82,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,598.50 : 82,581.50 = 82,581.50 : x
2. Step 2: Convert to fraction form
   37,598.50/82,581.50 = 82,581.50/x
3. Step 3: Cross multiply
   37,598.50x = 82,581.50 × 82,581.50
4. Step 4: Simplify right side
   37,598.50x = 6,819,704,142.25
5. Step 5: Solve for x
   x = 6,819,704,142.25/37,598.50
6. Step 6: Final answer
   x = 181,382.35