Finding the Third Proportional to 9,681 and 13,633

Step by Step Solution

1. Step 1: Write the proportion equation
   9,681 : 13,633 = 13,633 : x
2. Step 2: Convert to fraction form
   9,681/13,633 = 13,633/x
3. Step 3: Cross multiply
   9,681x = 13,633 × 13,633
4. Step 4: Simplify right side
   9,681x = 185,858,689
5. Step 5: Solve for x
   x = 185,858,689/9,681
6. Step 6: Final answer
   x = 19,198.29