Finding the Third Proportional to 1,005.38 and 1,480.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.38 : 1,480.69 = 1,480.69 : x
2. Step 2: Convert to fraction form
   1,005.38/1,480.69 = 1,480.69/x
3. Step 3: Cross multiply
   1,005.38x = 1,480.69 × 1,480.69
4. Step 4: Simplify right side
   1,005.38x = 2,192,435.47
5. Step 5: Solve for x
   x = 2,192,435.47/1,005.38
6. Step 6: Final answer
   x = 2,180.71