Finding the Third Proportional to 9,670 and 13,065

Step by Step Solution

1. Step 1: Write the proportion equation
   9,670 : 13,065 = 13,065 : x
2. Step 2: Convert to fraction form
   9,670/13,065 = 13,065/x
3. Step 3: Cross multiply
   9,670x = 13,065 × 13,065
4. Step 4: Simplify right side
   9,670x = 170,694,225
5. Step 5: Solve for x
   x = 170,694,225/9,670
6. Step 6: Final answer
   x = 17,651.94