Finding the Third Proportional to 4,003.50 and 5,986.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,003.50 : 5,986.69 = 5,986.69 : x
2. Step 2: Convert to fraction form
   4,003.50/5,986.69 = 5,986.69/x
3. Step 3: Cross multiply
   4,003.50x = 5,986.69 × 5,986.69
4. Step 4: Simplify right side
   4,003.50x = 35,840,427.22
5. Step 5: Solve for x
   x = 35,840,427.22/4,003.50
6. Step 6: Final answer
   x = 8,952.27