Finding the Third Proportional to 5,633 and 10,561

Step by Step Solution

1. Step 1: Write the proportion equation
   5,633 : 10,561 = 10,561 : x
2. Step 2: Convert to fraction form
   5,633/10,561 = 10,561/x
3. Step 3: Cross multiply
   5,633x = 10,561 × 10,561
4. Step 4: Simplify right side
   5,633x = 111,534,721
5. Step 5: Solve for x
   x = 111,534,721/5,633
6. Step 6: Final answer
   x = 19,800.23