Finding the Third Proportional to 10,874 and 16,304

Step by Step Solution

1. Step 1: Write the proportion equation
   10,874 : 16,304 = 16,304 : x
2. Step 2: Convert to fraction form
   10,874/16,304 = 16,304/x
3. Step 3: Cross multiply
   10,874x = 16,304 × 16,304
4. Step 4: Simplify right side
   10,874x = 265,820,416
5. Step 5: Solve for x
   x = 265,820,416/10,874
6. Step 6: Final answer
   x = 24,445.50