Finding the Third Proportional to 13,196 and 17,626

Step by Step Solution

1. Step 1: Write the proportion equation
   13,196 : 17,626 = 17,626 : x
2. Step 2: Convert to fraction form
   13,196/17,626 = 17,626/x
3. Step 3: Cross multiply
   13,196x = 17,626 × 17,626
4. Step 4: Simplify right side
   13,196x = 310,675,876
5. Step 5: Solve for x
   x = 310,675,876/13,196
6. Step 6: Final answer
   x = 23,543.19