Finding the Third Proportional to 5,637 and 10,569

Step by Step Solution

1. Step 1: Write the proportion equation
   5,637 : 10,569 = 10,569 : x
2. Step 2: Convert to fraction form
   5,637/10,569 = 10,569/x
3. Step 3: Cross multiply
   5,637x = 10,569 × 10,569
4. Step 4: Simplify right side
   5,637x = 111,703,761
5. Step 5: Solve for x
   x = 111,703,761/5,637
6. Step 6: Final answer
   x = 19,816.17