Finding the Third Proportional to 2,406.38 and 5,205.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,406.38 : 5,205.94 = 5,205.94 : x
2. Step 2: Convert to fraction form
   2,406.38/5,205.94 = 5,205.94/x
3. Step 3: Cross multiply
   2,406.38x = 5,205.94 × 5,205.94
4. Step 4: Simplify right side
   2,406.38x = 27,101,785.25
5. Step 5: Solve for x
   x = 27,101,785.25/2,406.38
6. Step 6: Final answer
   x = 11,262.49