Finding the Third Proportional to 6,770.25 and 10,462.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,770.25 : 10,462.69 = 10,462.69 : x
2. Step 2: Convert to fraction form
   6,770.25/10,462.69 = 10,462.69/x
3. Step 3: Cross multiply
   6,770.25x = 10,462.69 × 10,462.69
4. Step 4: Simplify right side
   6,770.25x = 109,467,829.72
5. Step 5: Solve for x
   x = 109,467,829.72/6,770.25
6. Step 6: Final answer
   x = 16,168.95