Finding the Third Proportional to 2,587.57 and 3,882.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,587.57 : 3,882.78 = 3,882.78 : x
2. Step 2: Convert to fraction form
   2,587.57/3,882.78 = 3,882.78/x
3. Step 3: Cross multiply
   2,587.57x = 3,882.78 × 3,882.78
4. Step 4: Simplify right side
   2,587.57x = 15,075,975.07
5. Step 5: Solve for x
   x = 15,075,975.07/2,587.57
6. Step 6: Final answer
   x = 5,826.31