Finding the Third Proportional to 10,780 and 12,268

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780 : 12,268 = 12,268 : x
2. Step 2: Convert to fraction form
   10,780/12,268 = 12,268/x
3. Step 3: Cross multiply
   10,780x = 12,268 × 12,268
4. Step 4: Simplify right side
   10,780x = 150,503,824
5. Step 5: Solve for x
   x = 150,503,824/10,780
6. Step 6: Final answer
   x = 13,961.39