Finding the Third Proportional to 11,766 and 17,289

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766 : 17,289 = 17,289 : x
2. Step 2: Convert to fraction form
   11,766/17,289 = 17,289/x
3. Step 3: Cross multiply
   11,766x = 17,289 × 17,289
4. Step 4: Simplify right side
   11,766x = 298,909,521
5. Step 5: Solve for x
   x = 298,909,521/11,766
6. Step 6: Final answer
   x = 25,404.51