Finding the Third Proportional to 2,049.89 and 4,423.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.89 : 4,423.78 = 4,423.78 : x
2. Step 2: Convert to fraction form
   2,049.89/4,423.78 = 4,423.78/x
3. Step 3: Cross multiply
   2,049.89x = 4,423.78 × 4,423.78
4. Step 4: Simplify right side
   2,049.89x = 19,569,840.55
5. Step 5: Solve for x
   x = 19,569,840.55/2,049.89
6. Step 6: Final answer
   x = 9,546.77