Finding the Third Proportional to 16,874 and 25,823

Step by Step Solution

1. Step 1: Write the proportion equation
   16,874 : 25,823 = 25,823 : x
2. Step 2: Convert to fraction form
   16,874/25,823 = 25,823/x
3. Step 3: Cross multiply
   16,874x = 25,823 × 25,823
4. Step 4: Simplify right side
   16,874x = 666,827,329
5. Step 5: Solve for x
   x = 666,827,329/16,874
6. Step 6: Final answer
   x = 39,518.04