Finding the Third Proportional to 10,764 and 12,636

Step by Step Solution

1. Step 1: Write the proportion equation
   10,764 : 12,636 = 12,636 : x
2. Step 2: Convert to fraction form
   10,764/12,636 = 12,636/x
3. Step 3: Cross multiply
   10,764x = 12,636 × 12,636
4. Step 4: Simplify right side
   10,764x = 159,668,496
5. Step 5: Solve for x
   x = 159,668,496/10,764
6. Step 6: Final answer
   x = 14,833.57