Finding the Third Proportional to 8,223 and 12,321

Step by Step Solution

1. Step 1: Write the proportion equation
   8,223 : 12,321 = 12,321 : x
2. Step 2: Convert to fraction form
   8,223/12,321 = 12,321/x
3. Step 3: Cross multiply
   8,223x = 12,321 × 12,321
4. Step 4: Simplify right side
   8,223x = 151,807,041
5. Step 5: Solve for x
   x = 151,807,041/8,223
6. Step 6: Final answer
   x = 18,461.27