Finding the Third Proportional to 5,311.83 and 7,819.03

Step by Step Solution

1. Step 1: Write the proportion equation
   5,311.83 : 7,819.03 = 7,819.03 : x
2. Step 2: Convert to fraction form
   5,311.83/7,819.03 = 7,819.03/x
3. Step 3: Cross multiply
   5,311.83x = 7,819.03 × 7,819.03
4. Step 4: Simplify right side
   5,311.83x = 61,137,249.69
5. Step 5: Solve for x
   x = 61,137,249.69/5,311.83
6. Step 6: Final answer
   x = 11,509.64