Finding the Third Proportional to 11,414 and 17,157

Step by Step Solution

1. Step 1: Write the proportion equation
   11,414 : 17,157 = 17,157 : x
2. Step 2: Convert to fraction form
   11,414/17,157 = 17,157/x
3. Step 3: Cross multiply
   11,414x = 17,157 × 17,157
4. Step 4: Simplify right side
   11,414x = 294,362,649
5. Step 5: Solve for x
   x = 294,362,649/11,414
6. Step 6: Final answer
   x = 25,789.61