Finding the Third Proportional to 1,338 and 1,871

Step by Step Solution

1. Step 1: Write the proportion equation
   1,338 : 1,871 = 1,871 : x
2. Step 2: Convert to fraction form
   1,338/1,871 = 1,871/x
3. Step 3: Cross multiply
   1,338x = 1,871 × 1,871
4. Step 4: Simplify right side
   1,338x = 3,500,641
5. Step 5: Solve for x
   x = 3,500,641/1,338
6. Step 6: Final answer
   x = 2,616.32