Finding the Third Proportional to 10,366 and 13,633

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366 : 13,633 = 13,633 : x
2. Step 2: Convert to fraction form
   10,366/13,633 = 13,633/x
3. Step 3: Cross multiply
   10,366x = 13,633 × 13,633
4. Step 4: Simplify right side
   10,366x = 185,858,689
5. Step 5: Solve for x
   x = 185,858,689/10,366
6. Step 6: Final answer
   x = 17,929.64