Finding the Third Proportional to 17,874 and 25,534

Step by Step Solution

1. Step 1: Write the proportion equation
   17,874 : 25,534 = 25,534 : x
2. Step 2: Convert to fraction form
   17,874/25,534 = 25,534/x
3. Step 3: Cross multiply
   17,874x = 25,534 × 25,534
4. Step 4: Simplify right side
   17,874x = 651,985,156
5. Step 5: Solve for x
   x = 651,985,156/17,874
6. Step 6: Final answer
   x = 36,476.73