Finding the Third Proportional to 6,978 and 15,189

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 15,189 = 15,189 : x
2. Step 2: Convert to fraction form
   6,978/15,189 = 15,189/x
3. Step 3: Cross multiply
   6,978x = 15,189 × 15,189
4. Step 4: Simplify right side
   6,978x = 230,705,721
5. Step 5: Solve for x
   x = 230,705,721/6,978
6. Step 6: Final answer
   x = 33,061.87