Finding the Third Proportional to 2,142.50 and 4,567.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.50 : 4,567.75 = 4,567.75 : x
2. Step 2: Convert to fraction form
   2,142.50/4,567.75 = 4,567.75/x
3. Step 3: Cross multiply
   2,142.50x = 4,567.75 × 4,567.75
4. Step 4: Simplify right side
   2,142.50x = 20,864,340.06
5. Step 5: Solve for x
   x = 20,864,340.06/2,142.50
6. Step 6: Final answer
   x = 9,738.32