Finding the Third Proportional to 12,183 and 22,665

Step by Step Solution

1. Step 1: Write the proportion equation
   12,183 : 22,665 = 22,665 : x
2. Step 2: Convert to fraction form
   12,183/22,665 = 22,665/x
3. Step 3: Cross multiply
   12,183x = 22,665 × 22,665
4. Step 4: Simplify right side
   12,183x = 513,702,225
5. Step 5: Solve for x
   x = 513,702,225/12,183
6. Step 6: Final answer
   x = 42,165.49