Finding the Third Proportional to 2,002.75 and 4,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.75 : 4,133.50 = 4,133.50 : x
2. Step 2: Convert to fraction form
   2,002.75/4,133.50 = 4,133.50/x
3. Step 3: Cross multiply
   2,002.75x = 4,133.50 × 4,133.50
4. Step 4: Simplify right side
   2,002.75x = 17,085,822.25
5. Step 5: Solve for x
   x = 17,085,822.25/2,002.75
6. Step 6: Final answer
   x = 8,531.18