Finding the Third Proportional to 2,947.43 and 4,005.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,947.43 : 4,005.07 = 4,005.07 : x
2. Step 2: Convert to fraction form
   2,947.43/4,005.07 = 4,005.07/x
3. Step 3: Cross multiply
   2,947.43x = 4,005.07 × 4,005.07
4. Step 4: Simplify right side
   2,947.43x = 16,040,588.21
5. Step 5: Solve for x
   x = 16,040,588.21/2,947.43
6. Step 6: Final answer
   x = 5,442.23