Finding the Third Proportional to 2,406.38 and 4,311.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,406.38 : 4,311.56 = 4,311.56 : x
2. Step 2: Convert to fraction form
   2,406.38/4,311.56 = 4,311.56/x
3. Step 3: Cross multiply
   2,406.38x = 4,311.56 × 4,311.56
4. Step 4: Simplify right side
   2,406.38x = 18,589,571.19
5. Step 5: Solve for x
   x = 18,589,571.19/2,406.38
6. Step 6: Final answer
   x = 7,725.13