Finding the Third Proportional to 2,458 and 4,388

Step by Step Solution

1. Step 1: Write the proportion equation
   2,458 : 4,388 = 4,388 : x
2. Step 2: Convert to fraction form
   2,458/4,388 = 4,388/x
3. Step 3: Cross multiply
   2,458x = 4,388 × 4,388
4. Step 4: Simplify right side
   2,458x = 19,254,544
5. Step 5: Solve for x
   x = 19,254,544/2,458
6. Step 6: Final answer
   x = 7,833.42