Finding the Third Proportional to 2,323.13 and 3,286.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,323.13 : 3,286.69 = 3,286.69 : x
2. Step 2: Convert to fraction form
   2,323.13/3,286.69 = 3,286.69/x
3. Step 3: Cross multiply
   2,323.13x = 3,286.69 × 3,286.69
4. Step 4: Simplify right side
   2,323.13x = 10,802,314.72
5. Step 5: Solve for x
   x = 10,802,314.72/2,323.13
6. Step 6: Final answer
   x = 4,649.91