Finding the Third Proportional to 11,617.59 and 17,535.23

Step by Step Solution

1. Step 1: Write the proportion equation
   11,617.59 : 17,535.23 = 17,535.23 : x
2. Step 2: Convert to fraction form
   11,617.59/17,535.23 = 17,535.23/x
3. Step 3: Cross multiply
   11,617.59x = 17,535.23 × 17,535.23
4. Step 4: Simplify right side
   11,617.59x = 307,484,444.59
5. Step 5: Solve for x
   x = 307,484,444.59/11,617.59
6. Step 6: Final answer
   x = 26,467.14