Finding the Third Proportional to 5,978 and 12,896

Step by Step Solution

1. Step 1: Write the proportion equation
   5,978 : 12,896 = 12,896 : x
2. Step 2: Convert to fraction form
   5,978/12,896 = 12,896/x
3. Step 3: Cross multiply
   5,978x = 12,896 × 12,896
4. Step 4: Simplify right side
   5,978x = 166,306,816
5. Step 5: Solve for x
   x = 166,306,816/5,978
6. Step 6: Final answer
   x = 27,819.81