Finding the Third Proportional to 2,092 and 2,268

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092 : 2,268 = 2,268 : x
2. Step 2: Convert to fraction form
   2,092/2,268 = 2,268/x
3. Step 3: Cross multiply
   2,092x = 2,268 × 2,268
4. Step 4: Simplify right side
   2,092x = 5,143,824
5. Step 5: Solve for x
   x = 5,143,824/2,092
6. Step 6: Final answer
   x = 2,458.81