Finding the Third Proportional to 1,311.75 and 1,836.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,311.75 : 1,836.28 = 1,836.28 : x
2. Step 2: Convert to fraction form
   1,311.75/1,836.28 = 1,836.28/x
3. Step 3: Cross multiply
   1,311.75x = 1,836.28 × 1,836.28
4. Step 4: Simplify right side
   1,311.75x = 3,371,928.83
5. Step 5: Solve for x
   x = 3,371,928.83/1,311.75
6. Step 6: Final answer
   x = 2,570.56