Finding the Third Proportional to 6,418 and 10,175

Step by Step Solution

1. Step 1: Write the proportion equation
   6,418 : 10,175 = 10,175 : x
2. Step 2: Convert to fraction form
   6,418/10,175 = 10,175/x
3. Step 3: Cross multiply
   6,418x = 10,175 × 10,175
4. Step 4: Simplify right side
   6,418x = 103,530,625
5. Step 5: Solve for x
   x = 103,530,625/6,418
6. Step 6: Final answer
   x = 16,131.29