Finding the Third Proportional to 2,089 and 3,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089 : 3,057.50 = 3,057.50 : x
2. Step 2: Convert to fraction form
   2,089/3,057.50 = 3,057.50/x
3. Step 3: Cross multiply
   2,089x = 3,057.50 × 3,057.50
4. Step 4: Simplify right side
   2,089x = 9,348,306.25
5. Step 5: Solve for x
   x = 9,348,306.25/2,089
6. Step 6: Final answer
   x = 4,475.01