Finding the Third Proportional to 2,582 and 5,200

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582 : 5,200 = 5,200 : x
2. Step 2: Convert to fraction form
   2,582/5,200 = 5,200/x
3. Step 3: Cross multiply
   2,582x = 5,200 × 5,200
4. Step 4: Simplify right side
   2,582x = 27,040,000
5. Step 5: Solve for x
   x = 27,040,000/2,582
6. Step 6: Final answer
   x = 10,472.50