Finding the Third Proportional to 1,144.88 and 1,658.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.88 : 1,658.06 = 1,658.06 : x
2. Step 2: Convert to fraction form
   1,144.88/1,658.06 = 1,658.06/x
3. Step 3: Cross multiply
   1,144.88x = 1,658.06 × 1,658.06
4. Step 4: Simplify right side
   1,144.88x = 2,749,171.25
5. Step 5: Solve for x
   x = 2,749,171.25/1,144.88
6. Step 6: Final answer
   x = 2,401.29