Finding the Third Proportional to 11,617.50 and 17,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,617.50 : 17,534.50 = 17,534.50 : x
2. Step 2: Convert to fraction form
   11,617.50/17,534.50 = 17,534.50/x
3. Step 3: Cross multiply
   11,617.50x = 17,534.50 × 17,534.50
4. Step 4: Simplify right side
   11,617.50x = 307,458,690.25
5. Step 5: Solve for x
   x = 307,458,690.25/11,617.50
6. Step 6: Final answer
   x = 26,465.13