Finding the Third Proportional to 3,338 and 3,674

Step by Step Solution

1. Step 1: Write the proportion equation
   3,338 : 3,674 = 3,674 : x
2. Step 2: Convert to fraction form
   3,338/3,674 = 3,674/x
3. Step 3: Cross multiply
   3,338x = 3,674 × 3,674
4. Step 4: Simplify right side
   3,338x = 13,498,276
5. Step 5: Solve for x
   x = 13,498,276/3,338
6. Step 6: Final answer
   x = 4,043.82