Finding the Third Proportional to 11,677.29 and 17,655.47

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.29 : 17,655.47 = 17,655.47 : x
2. Step 2: Convert to fraction form
   11,677.29/17,655.47 = 17,655.47/x
3. Step 3: Cross multiply
   11,677.29x = 17,655.47 × 17,655.47
4. Step 4: Simplify right side
   11,677.29x = 311,715,576.78
5. Step 5: Solve for x
   x = 311,715,576.78/11,677.29
6. Step 6: Final answer
   x = 26,694.17