Finding the Third Proportional to 2,006.65 and 4,229.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.65 : 4,229.72 = 4,229.72 : x
2. Step 2: Convert to fraction form
   2,006.65/4,229.72 = 4,229.72/x
3. Step 3: Cross multiply
   2,006.65x = 4,229.72 × 4,229.72
4. Step 4: Simplify right side
   2,006.65x = 17,890,520.70
5. Step 5: Solve for x
   x = 17,890,520.70/2,006.65
6. Step 6: Final answer
   x = 8,915.62