Finding the Third Proportional to 1,478.75 and 2,205.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,478.75 : 2,205.38 = 2,205.38 : x
2. Step 2: Convert to fraction form
   1,478.75/2,205.38 = 2,205.38/x
3. Step 3: Cross multiply
   1,478.75x = 2,205.38 × 2,205.38
4. Step 4: Simplify right side
   1,478.75x = 4,863,678.89
5. Step 5: Solve for x
   x = 4,863,678.89/1,478.75
6. Step 6: Final answer
   x = 3,289.05