Finding the Third Proportional to 10,684 and 17,065

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684 : 17,065 = 17,065 : x
2. Step 2: Convert to fraction form
   10,684/17,065 = 17,065/x
3. Step 3: Cross multiply
   10,684x = 17,065 × 17,065
4. Step 4: Simplify right side
   10,684x = 291,214,225
5. Step 5: Solve for x
   x = 291,214,225/10,684
6. Step 6: Final answer
   x = 27,257.04