Finding the Third Proportional to 1,286.50 and 1,874

Step by Step Solution

1. Step 1: Write the proportion equation
   1,286.50 : 1,874 = 1,874 : x
2. Step 2: Convert to fraction form
   1,286.50/1,874 = 1,874/x
3. Step 3: Cross multiply
   1,286.50x = 1,874 × 1,874
4. Step 4: Simplify right side
   1,286.50x = 3,511,876
5. Step 5: Solve for x
   x = 3,511,876/1,286.50
6. Step 6: Final answer
   x = 2,729.79