Finding the Third Proportional to 9,633 and 10,533

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633 : 10,533 = 10,533 : x
2. Step 2: Convert to fraction form
   9,633/10,533 = 10,533/x
3. Step 3: Cross multiply
   9,633x = 10,533 × 10,533
4. Step 4: Simplify right side
   9,633x = 110,944,089
5. Step 5: Solve for x
   x = 110,944,089/9,633
6. Step 6: Final answer
   x = 11,517.09