Finding the Third Proportional to 6,885 and 9,262.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,885 : 9,262.69 = 9,262.69 : x
2. Step 2: Convert to fraction form
   6,885/9,262.69 = 9,262.69/x
3. Step 3: Cross multiply
   6,885x = 9,262.69 × 9,262.69
4. Step 4: Simplify right side
   6,885x = 85,797,379.72
5. Step 5: Solve for x
   x = 85,797,379.72/6,885
6. Step 6: Final answer
   x = 12,461.49