Finding the Third Proportional to 6,978 and 14,568

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 14,568 = 14,568 : x
2. Step 2: Convert to fraction form
   6,978/14,568 = 14,568/x
3. Step 3: Cross multiply
   6,978x = 14,568 × 14,568
4. Step 4: Simplify right side
   6,978x = 212,226,624
5. Step 5: Solve for x
   x = 212,226,624/6,978
6. Step 6: Final answer
   x = 30,413.67