Finding the Third Proportional to 9,828 and 13,689

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828 : 13,689 = 13,689 : x
2. Step 2: Convert to fraction form
   9,828/13,689 = 13,689/x
3. Step 3: Cross multiply
   9,828x = 13,689 × 13,689
4. Step 4: Simplify right side
   9,828x = 187,388,721
5. Step 5: Solve for x
   x = 187,388,721/9,828
6. Step 6: Final answer
   x = 19,066.82