Finding the Third Proportional to 2,338 and 3,574

Step by Step Solution

1. Step 1: Write the proportion equation
   2,338 : 3,574 = 3,574 : x
2. Step 2: Convert to fraction form
   2,338/3,574 = 3,574/x
3. Step 3: Cross multiply
   2,338x = 3,574 × 3,574
4. Step 4: Simplify right side
   2,338x = 12,773,476
5. Step 5: Solve for x
   x = 12,773,476/2,338
6. Step 6: Final answer
   x = 5,463.42