Finding the Third Proportional to 2,406 and 4,948

Step by Step Solution

1. Step 1: Write the proportion equation
   2,406 : 4,948 = 4,948 : x
2. Step 2: Convert to fraction form
   2,406/4,948 = 4,948/x
3. Step 3: Cross multiply
   2,406x = 4,948 × 4,948
4. Step 4: Simplify right side
   2,406x = 24,482,704
5. Step 5: Solve for x
   x = 24,482,704/2,406
6. Step 6: Final answer
   x = 10,175.69