Finding the Third Proportional to 9,082 and 18,662

Step by Step Solution

1. Step 1: Write the proportion equation
   9,082 : 18,662 = 18,662 : x
2. Step 2: Convert to fraction form
   9,082/18,662 = 18,662/x
3. Step 3: Cross multiply
   9,082x = 18,662 × 18,662
4. Step 4: Simplify right side
   9,082x = 348,270,244
5. Step 5: Solve for x
   x = 348,270,244/9,082
6. Step 6: Final answer
   x = 38,347.31