Finding the Third Proportional to 41,082 and 84,108

Step by Step Solution

1. Step 1: Write the proportion equation
   41,082 : 84,108 = 84,108 : x
2. Step 2: Convert to fraction form
   41,082/84,108 = 84,108/x
3. Step 3: Cross multiply
   41,082x = 84,108 × 84,108
4. Step 4: Simplify right side
   41,082x = 7,074,155,664
5. Step 5: Solve for x
   x = 7,074,155,664/41,082
6. Step 6: Final answer
   x = 172,195.99