Finding the Third Proportional to 2,566.50 and 5,987.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.50 : 5,987.75 = 5,987.75 : x
2. Step 2: Convert to fraction form
   2,566.50/5,987.75 = 5,987.75/x
3. Step 3: Cross multiply
   2,566.50x = 5,987.75 × 5,987.75
4. Step 4: Simplify right side
   2,566.50x = 35,853,150.06
5. Step 5: Solve for x
   x = 35,853,150.06/2,566.50
6. Step 6: Final answer
   x = 13,969.67