Finding the Third Proportional to 1,408 and 2,978

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408 : 2,978 = 2,978 : x
2. Step 2: Convert to fraction form
   1,408/2,978 = 2,978/x
3. Step 3: Cross multiply
   1,408x = 2,978 × 2,978
4. Step 4: Simplify right side
   1,408x = 8,868,484
5. Step 5: Solve for x
   x = 8,868,484/1,408
6. Step 6: Final answer
   x = 6,298.64