Finding the Third Proportional to 2,582 and 5,458

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582 : 5,458 = 5,458 : x
2. Step 2: Convert to fraction form
   2,582/5,458 = 5,458/x
3. Step 3: Cross multiply
   2,582x = 5,458 × 5,458
4. Step 4: Simplify right side
   2,582x = 29,789,764
5. Step 5: Solve for x
   x = 29,789,764/2,582
6. Step 6: Final answer
   x = 11,537.48