Finding the Third Proportional to 10,978 and 16,564

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 16,564 = 16,564 : x
2. Step 2: Convert to fraction form
   10,978/16,564 = 16,564/x
3. Step 3: Cross multiply
   10,978x = 16,564 × 16,564
4. Step 4: Simplify right side
   10,978x = 274,366,096
5. Step 5: Solve for x
   x = 274,366,096/10,978
6. Step 6: Final answer
   x = 24,992.36