Finding the Third Proportional to 10,892 and 11,828

Step by Step Solution

1. Step 1: Write the proportion equation
   10,892 : 11,828 = 11,828 : x
2. Step 2: Convert to fraction form
   10,892/11,828 = 11,828/x
3. Step 3: Cross multiply
   10,892x = 11,828 × 11,828
4. Step 4: Simplify right side
   10,892x = 139,901,584
5. Step 5: Solve for x
   x = 139,901,584/10,892
6. Step 6: Final answer
   x = 12,844.43