Finding the Third Proportional to 11,357 and 17,626

Step by Step Solution

1. Step 1: Write the proportion equation
   11,357 : 17,626 = 17,626 : x
2. Step 2: Convert to fraction form
   11,357/17,626 = 17,626/x
3. Step 3: Cross multiply
   11,357x = 17,626 × 17,626
4. Step 4: Simplify right side
   11,357x = 310,675,876
5. Step 5: Solve for x
   x = 310,675,876/11,357
6. Step 6: Final answer
   x = 27,355.45