Finding the Third Proportional to 6,996.38 and 9,499.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,996.38 : 9,499.78 = 9,499.78 : x
2. Step 2: Convert to fraction form
   6,996.38/9,499.78 = 9,499.78/x
3. Step 3: Cross multiply
   6,996.38x = 9,499.78 × 9,499.78
4. Step 4: Simplify right side
   6,996.38x = 90,245,843.80
5. Step 5: Solve for x
   x = 90,245,843.80/6,996.38
6. Step 6: Final answer
   x = 12,898.94