Finding the Third Proportional to 10,686 and 16,589.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686 : 16,589.25 = 16,589.25 : x
2. Step 2: Convert to fraction form
   10,686/16,589.25 = 16,589.25/x
3. Step 3: Cross multiply
   10,686x = 16,589.25 × 16,589.25
4. Step 4: Simplify right side
   10,686x = 275,203,215.56
5. Step 5: Solve for x
   x = 275,203,215.56/10,686
6. Step 6: Final answer
   x = 25,753.62