Finding the Third Proportional to 2,978 and 3,398

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978 : 3,398 = 3,398 : x
2. Step 2: Convert to fraction form
   2,978/3,398 = 3,398/x
3. Step 3: Cross multiply
   2,978x = 3,398 × 3,398
4. Step 4: Simplify right side
   2,978x = 11,546,404
5. Step 5: Solve for x
   x = 11,546,404/2,978
6. Step 6: Final answer
   x = 3,877.23