Finding the Third Proportional to 3,586 and 5,550

Step by Step Solution

1. Step 1: Write the proportion equation
   3,586 : 5,550 = 5,550 : x
2. Step 2: Convert to fraction form
   3,586/5,550 = 5,550/x
3. Step 3: Cross multiply
   3,586x = 5,550 × 5,550
4. Step 4: Simplify right side
   3,586x = 30,802,500
5. Step 5: Solve for x
   x = 30,802,500/3,586
6. Step 6: Final answer
   x = 8,589.65