Finding the Third Proportional to 2,089.50 and 5,055

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.50 : 5,055 = 5,055 : x
2. Step 2: Convert to fraction form
   2,089.50/5,055 = 5,055/x
3. Step 3: Cross multiply
   2,089.50x = 5,055 × 5,055
4. Step 4: Simplify right side
   2,089.50x = 25,553,025
5. Step 5: Solve for x
   x = 25,553,025/2,089.50
6. Step 6: Final answer
   x = 12,229.25