Finding the Third Proportional to 16,742 and 25,923

Step by Step Solution

1. Step 1: Write the proportion equation
   16,742 : 25,923 = 25,923 : x
2. Step 2: Convert to fraction form
   16,742/25,923 = 25,923/x
3. Step 3: Cross multiply
   16,742x = 25,923 × 25,923
4. Step 4: Simplify right side
   16,742x = 672,001,929
5. Step 5: Solve for x
   x = 672,001,929/16,742
6. Step 6: Final answer
   x = 40,138.69