Finding the Third Proportional to 2,738 and 4,076

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738 : 4,076 = 4,076 : x
2. Step 2: Convert to fraction form
   2,738/4,076 = 4,076/x
3. Step 3: Cross multiply
   2,738x = 4,076 × 4,076
4. Step 4: Simplify right side
   2,738x = 16,613,776
5. Step 5: Solve for x
   x = 16,613,776/2,738
6. Step 6: Final answer
   x = 6,067.85