Finding the Third Proportional to 5,524.45 and 7,764.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,524.45 : 7,764.61 = 7,764.61 : x
2. Step 2: Convert to fraction form
   5,524.45/7,764.61 = 7,764.61/x
3. Step 3: Cross multiply
   5,524.45x = 7,764.61 × 7,764.61
4. Step 4: Simplify right side
   5,524.45x = 60,289,158.75
5. Step 5: Solve for x
   x = 60,289,158.75/5,524.45
6. Step 6: Final answer
   x = 10,913.15