Finding the Third Proportional to 1,006.38 and 2,454.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.38 : 2,454.63 = 2,454.63 : x
2. Step 2: Convert to fraction form
   1,006.38/2,454.63 = 2,454.63/x
3. Step 3: Cross multiply
   1,006.38x = 2,454.63 × 2,454.63
4. Step 4: Simplify right side
   1,006.38x = 6,025,183.89
5. Step 5: Solve for x
   x = 6,025,183.89/1,006.38
6. Step 6: Final answer
   x = 5,987.02