Finding the Third Proportional to 17,872 and 25,626

Step by Step Solution

1. Step 1: Write the proportion equation
   17,872 : 25,626 = 25,626 : x
2. Step 2: Convert to fraction form
   17,872/25,626 = 25,626/x
3. Step 3: Cross multiply
   17,872x = 25,626 × 25,626
4. Step 4: Simplify right side
   17,872x = 656,691,876
5. Step 5: Solve for x
   x = 656,691,876/17,872
6. Step 6: Final answer
   x = 36,744.17