Finding the Third Proportional to 2,562 and 3,600

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562 : 3,600 = 3,600 : x
2. Step 2: Convert to fraction form
   2,562/3,600 = 3,600/x
3. Step 3: Cross multiply
   2,562x = 3,600 × 3,600
4. Step 4: Simplify right side
   2,562x = 12,960,000
5. Step 5: Solve for x
   x = 12,960,000/2,562
6. Step 6: Final answer
   x = 5,058.55