Finding the Third Proportional to 7,686 and 10,422

Step by Step Solution

1. Step 1: Write the proportion equation
   7,686 : 10,422 = 10,422 : x
2. Step 2: Convert to fraction form
   7,686/10,422 = 10,422/x
3. Step 3: Cross multiply
   7,686x = 10,422 × 10,422
4. Step 4: Simplify right side
   7,686x = 108,618,084
5. Step 5: Solve for x
   x = 108,618,084/7,686
6. Step 6: Final answer
   x = 14,131.94