Finding the Third Proportional to 1,249.50 and 1,896.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,249.50 : 1,896.94 = 1,896.94 : x
2. Step 2: Convert to fraction form
   1,249.50/1,896.94 = 1,896.94/x
3. Step 3: Cross multiply
   1,249.50x = 1,896.94 × 1,896.94
4. Step 4: Simplify right side
   1,249.50x = 3,598,371.88
5. Step 5: Solve for x
   x = 3,598,371.88/1,249.50
6. Step 6: Final answer
   x = 2,879.85