Finding the Third Proportional to 5,978 and 12,774

Step by Step Solution

1. Step 1: Write the proportion equation
   5,978 : 12,774 = 12,774 : x
2. Step 2: Convert to fraction form
   5,978/12,774 = 12,774/x
3. Step 3: Cross multiply
   5,978x = 12,774 × 12,774
4. Step 4: Simplify right side
   5,978x = 163,175,076
5. Step 5: Solve for x
   x = 163,175,076/5,978
6. Step 6: Final answer
   x = 27,295.93