Finding the Third Proportional to 2,582 and 5,627

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582 : 5,627 = 5,627 : x
2. Step 2: Convert to fraction form
   2,582/5,627 = 5,627/x
3. Step 3: Cross multiply
   2,582x = 5,627 × 5,627
4. Step 4: Simplify right side
   2,582x = 31,663,129
5. Step 5: Solve for x
   x = 31,663,129/2,582
6. Step 6: Final answer
   x = 12,263.02