Finding the Third Proportional to 6,778.50 and 10,425

Step by Step Solution

1. Step 1: Write the proportion equation
   6,778.50 : 10,425 = 10,425 : x
2. Step 2: Convert to fraction form
   6,778.50/10,425 = 10,425/x
3. Step 3: Cross multiply
   6,778.50x = 10,425 × 10,425
4. Step 4: Simplify right side
   6,778.50x = 108,680,625
5. Step 5: Solve for x
   x = 108,680,625/6,778.50
6. Step 6: Final answer
   x = 16,033.14