Finding the Third Proportional to 11,891 and 17,665

Step by Step Solution

1. Step 1: Write the proportion equation
   11,891 : 17,665 = 17,665 : x
2. Step 2: Convert to fraction form
   11,891/17,665 = 17,665/x
3. Step 3: Cross multiply
   11,891x = 17,665 × 17,665
4. Step 4: Simplify right side
   11,891x = 312,052,225
5. Step 5: Solve for x
   x = 312,052,225/11,891
6. Step 6: Final answer
   x = 26,242.72