Finding the Third Proportional to 2,659.97 and 5,786.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,659.97 : 5,786.16 = 5,786.16 : x
2. Step 2: Convert to fraction form
   2,659.97/5,786.16 = 5,786.16/x
3. Step 3: Cross multiply
   2,659.97x = 5,786.16 × 5,786.16
4. Step 4: Simplify right side
   2,659.97x = 33,479,604.15
5. Step 5: Solve for x
   x = 33,479,604.15/2,659.97
6. Step 6: Final answer
   x = 12,586.47