Finding the Third Proportional to 2,404 and 3,586

Step by Step Solution

1. Step 1: Write the proportion equation
   2,404 : 3,586 = 3,586 : x
2. Step 2: Convert to fraction form
   2,404/3,586 = 3,586/x
3. Step 3: Cross multiply
   2,404x = 3,586 × 3,586
4. Step 4: Simplify right side
   2,404x = 12,859,396
5. Step 5: Solve for x
   x = 12,859,396/2,404
6. Step 6: Final answer
   x = 5,349.17