Finding the Third Proportional to 2,986.31 and 5,896.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,986.31 : 5,896.69 = 5,896.69 : x
2. Step 2: Convert to fraction form
   2,986.31/5,896.69 = 5,896.69/x
3. Step 3: Cross multiply
   2,986.31x = 5,896.69 × 5,896.69
4. Step 4: Simplify right side
   2,986.31x = 34,770,923.47
5. Step 5: Solve for x
   x = 34,770,923.47/2,986.31
6. Step 6: Final answer
   x = 11,643.43