Finding the Third Proportional to 17,674 and 25,981

Step by Step Solution

1. Step 1: Write the proportion equation
   17,674 : 25,981 = 25,981 : x
2. Step 2: Convert to fraction form
   17,674/25,981 = 25,981/x
3. Step 3: Cross multiply
   17,674x = 25,981 × 25,981
4. Step 4: Simplify right side
   17,674x = 675,012,361
5. Step 5: Solve for x
   x = 675,012,361/17,674
6. Step 6: Final answer
   x = 38,192.39