Finding the Third Proportional to 5,636 and 10,567

Step by Step Solution

1. Step 1: Write the proportion equation
   5,636 : 10,567 = 10,567 : x
2. Step 2: Convert to fraction form
   5,636/10,567 = 10,567/x
3. Step 3: Cross multiply
   5,636x = 10,567 × 10,567
4. Step 4: Simplify right side
   5,636x = 111,661,489
5. Step 5: Solve for x
   x = 111,661,489/5,636
6. Step 6: Final answer
   x = 19,812.19