Finding the Third Proportional to 6,422 and 10,268

Step by Step Solution

1. Step 1: Write the proportion equation
   6,422 : 10,268 = 10,268 : x
2. Step 2: Convert to fraction form
   6,422/10,268 = 10,268/x
3. Step 3: Cross multiply
   6,422x = 10,268 × 10,268
4. Step 4: Simplify right side
   6,422x = 105,431,824
5. Step 5: Solve for x
   x = 105,431,824/6,422
6. Step 6: Final answer
   x = 16,417.29