Finding the Third Proportional to 8,166 and 12,233

Step by Step Solution

1. Step 1: Write the proportion equation
   8,166 : 12,233 = 12,233 : x
2. Step 2: Convert to fraction form
   8,166/12,233 = 12,233/x
3. Step 3: Cross multiply
   8,166x = 12,233 × 12,233
4. Step 4: Simplify right side
   8,166x = 149,646,289
5. Step 5: Solve for x
   x = 149,646,289/8,166
6. Step 6: Final answer
   x = 18,325.53