Finding the Third Proportional to 1,144.13 and 1,749.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.13 : 1,749.94 = 1,749.94 : x
2. Step 2: Convert to fraction form
   1,144.13/1,749.94 = 1,749.94/x
3. Step 3: Cross multiply
   1,144.13x = 1,749.94 × 1,749.94
4. Step 4: Simplify right side
   1,144.13x = 3,062,281.25
5. Step 5: Solve for x
   x = 3,062,281.25/1,144.13
6. Step 6: Final answer
   x = 2,676.53