Finding the Third Proportional to 5,313.09 and 7,772.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,313.09 : 7,772.20 = 7,772.20 : x
2. Step 2: Convert to fraction form
   5,313.09/7,772.20 = 7,772.20/x
3. Step 3: Cross multiply
   5,313.09x = 7,772.20 × 7,772.20
4. Step 4: Simplify right side
   5,313.09x = 60,407,141.42
5. Step 5: Solve for x
   x = 60,407,141.42/5,313.09
6. Step 6: Final answer
   x = 11,369.49