Finding the Third Proportional to 9,024 and 12,665

Step by Step Solution

1. Step 1: Write the proportion equation
   9,024 : 12,665 = 12,665 : x
2. Step 2: Convert to fraction form
   9,024/12,665 = 12,665/x
3. Step 3: Cross multiply
   9,024x = 12,665 × 12,665
4. Step 4: Simplify right side
   9,024x = 160,402,225
5. Step 5: Solve for x
   x = 160,402,225/9,024
6. Step 6: Final answer
   x = 17,775.07