Finding the Third Proportional to 17,638 and 25,974

Step by Step Solution

1. Step 1: Write the proportion equation
   17,638 : 25,974 = 25,974 : x
2. Step 2: Convert to fraction form
   17,638/25,974 = 25,974/x
3. Step 3: Cross multiply
   17,638x = 25,974 × 25,974
4. Step 4: Simplify right side
   17,638x = 674,648,676
5. Step 5: Solve for x
   x = 674,648,676/17,638
6. Step 6: Final answer
   x = 38,249.73