Finding the Third Proportional to 2,578 and 3,502

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578 : 3,502 = 3,502 : x
2. Step 2: Convert to fraction form
   2,578/3,502 = 3,502/x
3. Step 3: Cross multiply
   2,578x = 3,502 × 3,502
4. Step 4: Simplify right side
   2,578x = 12,264,004
5. Step 5: Solve for x
   x = 12,264,004/2,578
6. Step 6: Final answer
   x = 4,757.18