Finding the Third Proportional to 5,286.09 and 8,196.19

Step by Step Solution

1. Step 1: Write the proportion equation
   5,286.09 : 8,196.19 = 8,196.19 : x
2. Step 2: Convert to fraction form
   5,286.09/8,196.19 = 8,196.19/x
3. Step 3: Cross multiply
   5,286.09x = 8,196.19 × 8,196.19
4. Step 4: Simplify right side
   5,286.09x = 67,177,489.54
5. Step 5: Solve for x
   x = 67,177,489.54/5,286.09
6. Step 6: Final answer
   x = 12,708.34