Finding the Third Proportional to 2,559 and 5,586

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559 : 5,586 = 5,586 : x
2. Step 2: Convert to fraction form
   2,559/5,586 = 5,586/x
3. Step 3: Cross multiply
   2,559x = 5,586 × 5,586
4. Step 4: Simplify right side
   2,559x = 31,203,396
5. Step 5: Solve for x
   x = 31,203,396/2,559
6. Step 6: Final answer
   x = 12,193.59