Finding the Third Proportional to 11,796 and 18,105

Step by Step Solution

1. Step 1: Write the proportion equation
   11,796 : 18,105 = 18,105 : x
2. Step 2: Convert to fraction form
   11,796/18,105 = 18,105/x
3. Step 3: Cross multiply
   11,796x = 18,105 × 18,105
4. Step 4: Simplify right side
   11,796x = 327,791,025
5. Step 5: Solve for x
   x = 327,791,025/11,796
6. Step 6: Final answer
   x = 27,788.32