Finding the Third Proportional to 2,128.50 and 4,578.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,128.50 : 4,578.75 = 4,578.75 : x
2. Step 2: Convert to fraction form
   2,128.50/4,578.75 = 4,578.75/x
3. Step 3: Cross multiply
   2,128.50x = 4,578.75 × 4,578.75
4. Step 4: Simplify right side
   2,128.50x = 20,964,951.56
5. Step 5: Solve for x
   x = 20,964,951.56/2,128.50
6. Step 6: Final answer
   x = 9,849.64