Finding the Third Proportional to 10,686 and 13,569

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686 : 13,569 = 13,569 : x
2. Step 2: Convert to fraction form
   10,686/13,569 = 13,569/x
3. Step 3: Cross multiply
   10,686x = 13,569 × 13,569
4. Step 4: Simplify right side
   10,686x = 184,117,761
5. Step 5: Solve for x
   x = 184,117,761/10,686
6. Step 6: Final answer
   x = 17,229.81