Finding the Third Proportional to 3,002.06 and 4,013.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,002.06 : 4,013.72 = 4,013.72 : x
2. Step 2: Convert to fraction form
   3,002.06/4,013.72 = 4,013.72/x
3. Step 3: Cross multiply
   3,002.06x = 4,013.72 × 4,013.72
4. Step 4: Simplify right side
   3,002.06x = 16,109,938.20
5. Step 5: Solve for x
   x = 16,109,938.20/3,002.06
6. Step 6: Final answer
   x = 5,366.29