Finding the Third Proportional to 2,582 and 4,140

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582 : 4,140 = 4,140 : x
2. Step 2: Convert to fraction form
   2,582/4,140 = 4,140/x
3. Step 3: Cross multiply
   2,582x = 4,140 × 4,140
4. Step 4: Simplify right side
   2,582x = 17,139,600
5. Step 5: Solve for x
   x = 17,139,600/2,582
6. Step 6: Final answer
   x = 6,638.11