Finding the Third Proportional to 2,948.50 and 4,005

Step by Step Solution

1. Step 1: Write the proportion equation
   2,948.50 : 4,005 = 4,005 : x
2. Step 2: Convert to fraction form
   2,948.50/4,005 = 4,005/x
3. Step 3: Cross multiply
   2,948.50x = 4,005 × 4,005
4. Step 4: Simplify right side
   2,948.50x = 16,040,025
5. Step 5: Solve for x
   x = 16,040,025/2,948.50
6. Step 6: Final answer
   x = 5,440.06