Finding the Third Proportional to 17,534.50 and 24,105.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,534.50 : 24,105.75 = 24,105.75 : x
2. Step 2: Convert to fraction form
   17,534.50/24,105.75 = 24,105.75/x
3. Step 3: Cross multiply
   17,534.50x = 24,105.75 × 24,105.75
4. Step 4: Simplify right side
   17,534.50x = 581,087,183.06
5. Step 5: Solve for x
   x = 581,087,183.06/17,534.50
6. Step 6: Final answer
   x = 33,139.65