Finding the Third Proportional to 17,632 and 37,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,632 : 37,724.50 = 37,724.50 : x
2. Step 2: Convert to fraction form
   17,632/37,724.50 = 37,724.50/x
3. Step 3: Cross multiply
   17,632x = 37,724.50 × 37,724.50
4. Step 4: Simplify right side
   17,632x = 1,423,137,900.25
5. Step 5: Solve for x
   x = 1,423,137,900.25/17,632
6. Step 6: Final answer
   x = 80,713.36