Finding the Third Proportional to 6,420 and 10,238

Step by Step Solution

1. Step 1: Write the proportion equation
   6,420 : 10,238 = 10,238 : x
2. Step 2: Convert to fraction form
   6,420/10,238 = 10,238/x
3. Step 3: Cross multiply
   6,420x = 10,238 × 10,238
4. Step 4: Simplify right side
   6,420x = 104,816,644
5. Step 5: Solve for x
   x = 104,816,644/6,420
6. Step 6: Final answer
   x = 16,326.58