Finding the Third Proportional to 10,686 and 16,578

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686 : 16,578 = 16,578 : x
2. Step 2: Convert to fraction form
   10,686/16,578 = 16,578/x
3. Step 3: Cross multiply
   10,686x = 16,578 × 16,578
4. Step 4: Simplify right side
   10,686x = 274,830,084
5. Step 5: Solve for x
   x = 274,830,084/10,686
6. Step 6: Final answer
   x = 25,718.71