Finding the Third Proportional to 2,978 and 4,442

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978 : 4,442 = 4,442 : x
2. Step 2: Convert to fraction form
   2,978/4,442 = 4,442/x
3. Step 3: Cross multiply
   2,978x = 4,442 × 4,442
4. Step 4: Simplify right side
   2,978x = 19,731,364
5. Step 5: Solve for x
   x = 19,731,364/2,978
6. Step 6: Final answer
   x = 6,625.71