Finding the Third Proportional to 6,420 and 10,814

Step by Step Solution

1. Step 1: Write the proportion equation
   6,420 : 10,814 = 10,814 : x
2. Step 2: Convert to fraction form
   6,420/10,814 = 10,814/x
3. Step 3: Cross multiply
   6,420x = 10,814 × 10,814
4. Step 4: Simplify right side
   6,420x = 116,942,596
5. Step 5: Solve for x
   x = 116,942,596/6,420
6. Step 6: Final answer
   x = 18,215.36