Finding the Third Proportional to 2,089.13 and 5,499.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.13 : 5,499.56 = 5,499.56 : x
2. Step 2: Convert to fraction form
   2,089.13/5,499.56 = 5,499.56/x
3. Step 3: Cross multiply
   2,089.13x = 5,499.56 × 5,499.56
4. Step 4: Simplify right side
   2,089.13x = 30,245,187.69
5. Step 5: Solve for x
   x = 30,245,187.69/2,089.13
6. Step 6: Final answer
   x = 14,477.44