Finding the Third Proportional to 1,311 and 1,778.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,311 : 1,778.25 = 1,778.25 : x
2. Step 2: Convert to fraction form
   1,311/1,778.25 = 1,778.25/x
3. Step 3: Cross multiply
   1,311x = 1,778.25 × 1,778.25
4. Step 4: Simplify right side
   1,311x = 3,162,173.06
5. Step 5: Solve for x
   x = 3,162,173.06/1,311
6. Step 6: Final answer
   x = 2,412.03