Finding the Third Proportional to 2,578 and 3,650

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578 : 3,650 = 3,650 : x
2. Step 2: Convert to fraction form
   2,578/3,650 = 3,650/x
3. Step 3: Cross multiply
   2,578x = 3,650 × 3,650
4. Step 4: Simplify right side
   2,578x = 13,322,500
5. Step 5: Solve for x
   x = 13,322,500/2,578
6. Step 6: Final answer
   x = 5,167.77