Finding the Third Proportional to 5,544.50 and 7,596.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,544.50 : 7,596.75 = 7,596.75 : x
2. Step 2: Convert to fraction form
   5,544.50/7,596.75 = 7,596.75/x
3. Step 3: Cross multiply
   5,544.50x = 7,596.75 × 7,596.75
4. Step 4: Simplify right side
   5,544.50x = 57,710,610.56
5. Step 5: Solve for x
   x = 57,710,610.56/5,544.50
6. Step 6: Final answer
   x = 10,408.62