Finding the Third Proportional to 6,826 and 10,420

Step by Step Solution

1. Step 1: Write the proportion equation
   6,826 : 10,420 = 10,420 : x
2. Step 2: Convert to fraction form
   6,826/10,420 = 10,420/x
3. Step 3: Cross multiply
   6,826x = 10,420 × 10,420
4. Step 4: Simplify right side
   6,826x = 108,576,400
5. Step 5: Solve for x
   x = 108,576,400/6,826
6. Step 6: Final answer
   x = 15,906.30