Finding the Third Proportional to 16,122 and 25,743

Step by Step Solution

1. Step 1: Write the proportion equation
   16,122 : 25,743 = 25,743 : x
2. Step 2: Convert to fraction form
   16,122/25,743 = 25,743/x
3. Step 3: Cross multiply
   16,122x = 25,743 × 25,743
4. Step 4: Simplify right side
   16,122x = 662,702,049
5. Step 5: Solve for x
   x = 662,702,049/16,122
6. Step 6: Final answer
   x = 41,105.45