Finding the Third Proportional to 25,742 and 41,108

Step by Step Solution

1. Step 1: Write the proportion equation
   25,742 : 41,108 = 41,108 : x
2. Step 2: Convert to fraction form
   25,742/41,108 = 41,108/x
3. Step 3: Cross multiply
   25,742x = 41,108 × 41,108
4. Step 4: Simplify right side
   25,742x = 1,689,867,664
5. Step 5: Solve for x
   x = 1,689,867,664/25,742
6. Step 6: Final answer
   x = 65,646.32