Finding the Third Proportional to 1,083.38 and 2,205.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,083.38 : 2,205.56 = 2,205.56 : x
2. Step 2: Convert to fraction form
   1,083.38/2,205.56 = 2,205.56/x
3. Step 3: Cross multiply
   1,083.38x = 2,205.56 × 2,205.56
4. Step 4: Simplify right side
   1,083.38x = 4,864,505.94
5. Step 5: Solve for x
   x = 4,864,505.94/1,083.38
6. Step 6: Final answer
   x = 4,490.14