Finding the Third Proportional to 5,996 and 13,065

Step by Step Solution

1. Step 1: Write the proportion equation
   5,996 : 13,065 = 13,065 : x
2. Step 2: Convert to fraction form
   5,996/13,065 = 13,065/x
3. Step 3: Cross multiply
   5,996x = 13,065 × 13,065
4. Step 4: Simplify right side
   5,996x = 170,694,225
5. Step 5: Solve for x
   x = 170,694,225/5,996
6. Step 6: Final answer
   x = 28,468.02