Finding the Third Proportional to 2,408 and 3,038

Step by Step Solution

1. Step 1: Write the proportion equation
   2,408 : 3,038 = 3,038 : x
2. Step 2: Convert to fraction form
   2,408/3,038 = 3,038/x
3. Step 3: Cross multiply
   2,408x = 3,038 × 3,038
4. Step 4: Simplify right side
   2,408x = 9,229,444
5. Step 5: Solve for x
   x = 9,229,444/2,408
6. Step 6: Final answer
   x = 3,832.83