Finding the Third Proportional to 12,025 and 18,665

Step by Step Solution

1. Step 1: Write the proportion equation
   12,025 : 18,665 = 18,665 : x
2. Step 2: Convert to fraction form
   12,025/18,665 = 18,665/x
3. Step 3: Cross multiply
   12,025x = 18,665 × 18,665
4. Step 4: Simplify right side
   12,025x = 348,382,225
5. Step 5: Solve for x
   x = 348,382,225/12,025
6. Step 6: Final answer
   x = 28,971.49