Finding the Third Proportional to 16,874 and 25,822

Step by Step Solution

1. Step 1: Write the proportion equation
   16,874 : 25,822 = 25,822 : x
2. Step 2: Convert to fraction form
   16,874/25,822 = 25,822/x
3. Step 3: Cross multiply
   16,874x = 25,822 × 25,822
4. Step 4: Simplify right side
   16,874x = 666,775,684
5. Step 5: Solve for x
   x = 666,775,684/16,874
6. Step 6: Final answer
   x = 39,514.97