Finding the Third Proportional to 6,404 and 10,214

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404 : 10,214 = 10,214 : x
2. Step 2: Convert to fraction form
   6,404/10,214 = 10,214/x
3. Step 3: Cross multiply
   6,404x = 10,214 × 10,214
4. Step 4: Simplify right side
   6,404x = 104,325,796
5. Step 5: Solve for x
   x = 104,325,796/6,404
6. Step 6: Final answer
   x = 16,290.72