Finding the Third Proportional to 2,007.75 and 3,205.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.75 : 3,205.88 = 3,205.88 : x
2. Step 2: Convert to fraction form
   2,007.75/3,205.88 = 3,205.88/x
3. Step 3: Cross multiply
   2,007.75x = 3,205.88 × 3,205.88
4. Step 4: Simplify right side
   2,007.75x = 10,277,634.52
5. Step 5: Solve for x
   x = 10,277,634.52/2,007.75
6. Step 6: Final answer
   x = 5,118.98