Finding the Third Proportional to 2,638 and 5,768

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638 : 5,768 = 5,768 : x
2. Step 2: Convert to fraction form
   2,638/5,768 = 5,768/x
3. Step 3: Cross multiply
   2,638x = 5,768 × 5,768
4. Step 4: Simplify right side
   2,638x = 33,269,824
5. Step 5: Solve for x
   x = 33,269,824/2,638
6. Step 6: Final answer
   x = 12,611.76