Finding the Third Proportional to 2,586.09 and 3,960.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.09 : 3,960.56 = 3,960.56 : x
2. Step 2: Convert to fraction form
   2,586.09/3,960.56 = 3,960.56/x
3. Step 3: Cross multiply
   2,586.09x = 3,960.56 × 3,960.56
4. Step 4: Simplify right side
   2,586.09x = 15,686,055.32
5. Step 5: Solve for x
   x = 15,686,055.32/2,586.09
6. Step 6: Final answer
   x = 6,065.54