Finding the Third Proportional to 3,007.25 and 4,096.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,007.25 : 4,096.75 = 4,096.75 : x
2. Step 2: Convert to fraction form
   3,007.25/4,096.75 = 4,096.75/x
3. Step 3: Cross multiply
   3,007.25x = 4,096.75 × 4,096.75
4. Step 4: Simplify right side
   3,007.25x = 16,783,360.56
5. Step 5: Solve for x
   x = 16,783,360.56/3,007.25
6. Step 6: Final answer
   x = 5,580.97