Finding the Third Proportional to 17,661 and 38,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,661 : 38,359.50 = 38,359.50 : x
2. Step 2: Convert to fraction form
   17,661/38,359.50 = 38,359.50/x
3. Step 3: Cross multiply
   17,661x = 38,359.50 × 38,359.50
4. Step 4: Simplify right side
   17,661x = 1,471,451,240.25
5. Step 5: Solve for x
   x = 1,471,451,240.25/17,661
6. Step 6: Final answer
   x = 83,316.42