Finding the Third Proportional to 6,404 and 14,042

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404 : 14,042 = 14,042 : x
2. Step 2: Convert to fraction form
   6,404/14,042 = 14,042/x
3. Step 3: Cross multiply
   6,404x = 14,042 × 14,042
4. Step 4: Simplify right side
   6,404x = 197,177,764
5. Step 5: Solve for x
   x = 197,177,764/6,404
6. Step 6: Final answer
   x = 30,789.78