Finding the Third Proportional to 11,826 and 20,736

Step by Step Solution

1. Step 1: Write the proportion equation
   11,826 : 20,736 = 20,736 : x
2. Step 2: Convert to fraction form
   11,826/20,736 = 20,736/x
3. Step 3: Cross multiply
   11,826x = 20,736 × 20,736
4. Step 4: Simplify right side
   11,826x = 429,981,696
5. Step 5: Solve for x
   x = 429,981,696/11,826
6. Step 6: Final answer
   x = 36,359.01