Finding the Third Proportional to 10,978 and 16,561

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 16,561 = 16,561 : x
2. Step 2: Convert to fraction form
   10,978/16,561 = 16,561/x
3. Step 3: Cross multiply
   10,978x = 16,561 × 16,561
4. Step 4: Simplify right side
   10,978x = 274,266,721
5. Step 5: Solve for x
   x = 274,266,721/10,978
6. Step 6: Final answer
   x = 24,983.30