Finding the Third Proportional to 2,588 and 3,674

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588 : 3,674 = 3,674 : x
2. Step 2: Convert to fraction form
   2,588/3,674 = 3,674/x
3. Step 3: Cross multiply
   2,588x = 3,674 × 3,674
4. Step 4: Simplify right side
   2,588x = 13,498,276
5. Step 5: Solve for x
   x = 13,498,276/2,588
6. Step 6: Final answer
   x = 5,215.72