Finding the Third Proportional to 8,182 and 17,662

Step by Step Solution

1. Step 1: Write the proportion equation
   8,182 : 17,662 = 17,662 : x
2. Step 2: Convert to fraction form
   8,182/17,662 = 17,662/x
3. Step 3: Cross multiply
   8,182x = 17,662 × 17,662
4. Step 4: Simplify right side
   8,182x = 311,946,244
5. Step 5: Solve for x
   x = 311,946,244/8,182
6. Step 6: Final answer
   x = 38,125.92