Finding the Third Proportional to 6,416 and 10,042

Step by Step Solution

1. Step 1: Write the proportion equation
   6,416 : 10,042 = 10,042 : x
2. Step 2: Convert to fraction form
   6,416/10,042 = 10,042/x
3. Step 3: Cross multiply
   6,416x = 10,042 × 10,042
4. Step 4: Simplify right side
   6,416x = 100,841,764
5. Step 5: Solve for x
   x = 100,841,764/6,416
6. Step 6: Final answer
   x = 15,717.23