Finding the Third Proportional to 1,535.44 and 3,313.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.44 : 3,313.31 = 3,313.31 : x
2. Step 2: Convert to fraction form
   1,535.44/3,313.31 = 3,313.31/x
3. Step 3: Cross multiply
   1,535.44x = 3,313.31 × 3,313.31
4. Step 4: Simplify right side
   1,535.44x = 10,978,039.72
5. Step 5: Solve for x
   x = 10,978,039.72/1,535.44
6. Step 6: Final answer
   x = 7,149.78