Finding the Third Proportional to 2,768 and 3,938

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768 : 3,938 = 3,938 : x
2. Step 2: Convert to fraction form
   2,768/3,938 = 3,938/x
3. Step 3: Cross multiply
   2,768x = 3,938 × 3,938
4. Step 4: Simplify right side
   2,768x = 15,507,844
5. Step 5: Solve for x
   x = 15,507,844/2,768
6. Step 6: Final answer
   x = 5,602.54