Finding the Third Proportional to 11,414 and 17,022

Step by Step Solution

1. Step 1: Write the proportion equation
   11,414 : 17,022 = 17,022 : x
2. Step 2: Convert to fraction form
   11,414/17,022 = 17,022/x
3. Step 3: Cross multiply
   11,414x = 17,022 × 17,022
4. Step 4: Simplify right side
   11,414x = 289,748,484
5. Step 5: Solve for x
   x = 289,748,484/11,414
6. Step 6: Final answer
   x = 25,385.36