Finding the Third Proportional to 2,565.84 and 5,995.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.84 : 5,995.69 = 5,995.69 : x
2. Step 2: Convert to fraction form
   2,565.84/5,995.69 = 5,995.69/x
3. Step 3: Cross multiply
   2,565.84x = 5,995.69 × 5,995.69
4. Step 4: Simplify right side
   2,565.84x = 35,948,268.60
5. Step 5: Solve for x
   x = 35,948,268.60/2,565.84
6. Step 6: Final answer
   x = 14,010.31