Finding the Third Proportional to 10,978.50 and 16,563

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.50 : 16,563 = 16,563 : x
2. Step 2: Convert to fraction form
   10,978.50/16,563 = 16,563/x
3. Step 3: Cross multiply
   10,978.50x = 16,563 × 16,563
4. Step 4: Simplify right side
   10,978.50x = 274,332,969
5. Step 5: Solve for x
   x = 274,332,969/10,978.50
6. Step 6: Final answer
   x = 24,988.20