Finding the Third Proportional to 8,162 and 18,146

Step by Step Solution

1. Step 1: Write the proportion equation
   8,162 : 18,146 = 18,146 : x
2. Step 2: Convert to fraction form
   8,162/18,146 = 18,146/x
3. Step 3: Cross multiply
   8,162x = 18,146 × 18,146
4. Step 4: Simplify right side
   8,162x = 329,277,316
5. Step 5: Solve for x
   x = 329,277,316/8,162
6. Step 6: Final answer
   x = 40,342.72