Finding the Third Proportional to 11,614 and 17,422

Step by Step Solution

1. Step 1: Write the proportion equation
   11,614 : 17,422 = 17,422 : x
2. Step 2: Convert to fraction form
   11,614/17,422 = 17,422/x
3. Step 3: Cross multiply
   11,614x = 17,422 × 17,422
4. Step 4: Simplify right side
   11,614x = 303,526,084
5. Step 5: Solve for x
   x = 303,526,084/11,614
6. Step 6: Final answer
   x = 26,134.50