Finding the Third Proportional to 11,616.50 and 17,532.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,616.50 : 17,532.75 = 17,532.75 : x
2. Step 2: Convert to fraction form
   11,616.50/17,532.75 = 17,532.75/x
3. Step 3: Cross multiply
   11,616.50x = 17,532.75 × 17,532.75
4. Step 4: Simplify right side
   11,616.50x = 307,397,322.56
5. Step 5: Solve for x
   x = 307,397,322.56/11,616.50
6. Step 6: Final answer
   x = 26,462.13