Finding the Third Proportional to 5,578.50 and 10,563

Step by Step Solution

1. Step 1: Write the proportion equation
   5,578.50 : 10,563 = 10,563 : x
2. Step 2: Convert to fraction form
   5,578.50/10,563 = 10,563/x
3. Step 3: Cross multiply
   5,578.50x = 10,563 × 10,563
4. Step 4: Simplify right side
   5,578.50x = 111,576,969
5. Step 5: Solve for x
   x = 111,576,969/5,578.50
6. Step 6: Final answer
   x = 20,001.25