Finding the Third Proportional to 1,233 and 1,338

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233 : 1,338 = 1,338 : x
2. Step 2: Convert to fraction form
   1,233/1,338 = 1,338/x
3. Step 3: Cross multiply
   1,233x = 1,338 × 1,338
4. Step 4: Simplify right side
   1,233x = 1,790,244
5. Step 5: Solve for x
   x = 1,790,244/1,233
6. Step 6: Final answer
   x = 1,451.94