Finding the Third Proportional to 12,006 and 16,065

Step by Step Solution

1. Step 1: Write the proportion equation
   12,006 : 16,065 = 16,065 : x
2. Step 2: Convert to fraction form
   12,006/16,065 = 16,065/x
3. Step 3: Cross multiply
   12,006x = 16,065 × 16,065
4. Step 4: Simplify right side
   12,006x = 258,084,225
5. Step 5: Solve for x
   x = 258,084,225/12,006
6. Step 6: Final answer
   x = 21,496.27