Finding the Third Proportional to 2,089.88 and 3,144.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.88 : 3,144.38 = 3,144.38 : x
2. Step 2: Convert to fraction form
   2,089.88/3,144.38 = 3,144.38/x
3. Step 3: Cross multiply
   2,089.88x = 3,144.38 × 3,144.38
4. Step 4: Simplify right side
   2,089.88x = 9,887,094.14
5. Step 5: Solve for x
   x = 9,887,094.14/2,089.88
6. Step 6: Final answer
   x = 4,730.95