Finding the Third Proportional to 2,709 and 4,002.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,709 : 4,002.75 = 4,002.75 : x
2. Step 2: Convert to fraction form
   2,709/4,002.75 = 4,002.75/x
3. Step 3: Cross multiply
   2,709x = 4,002.75 × 4,002.75
4. Step 4: Simplify right side
   2,709x = 16,022,007.56
5. Step 5: Solve for x
   x = 16,022,007.56/2,709
6. Step 6: Final answer
   x = 5,914.36