Finding the Third Proportional to 11,290 and 16,563

Step by Step Solution

1. Step 1: Write the proportion equation
   11,290 : 16,563 = 16,563 : x
2. Step 2: Convert to fraction form
   11,290/16,563 = 16,563/x
3. Step 3: Cross multiply
   11,290x = 16,563 × 16,563
4. Step 4: Simplify right side
   11,290x = 274,332,969
5. Step 5: Solve for x
   x = 274,332,969/11,290
6. Step 6: Final answer
   x = 24,298.76