Finding the Third Proportional to 8,162 and 12,223

Step by Step Solution

1. Step 1: Write the proportion equation
   8,162 : 12,223 = 12,223 : x
2. Step 2: Convert to fraction form
   8,162/12,223 = 12,223/x
3. Step 3: Cross multiply
   8,162x = 12,223 × 12,223
4. Step 4: Simplify right side
   8,162x = 149,401,729
5. Step 5: Solve for x
   x = 149,401,729/8,162
6. Step 6: Final answer
   x = 18,304.55