Finding the Third Proportional to 2,028.66 and 4,432.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,028.66 : 4,432.78 = 4,432.78 : x
2. Step 2: Convert to fraction form
   2,028.66/4,432.78 = 4,432.78/x
3. Step 3: Cross multiply
   2,028.66x = 4,432.78 × 4,432.78
4. Step 4: Simplify right side
   2,028.66x = 19,649,549.61
5. Step 5: Solve for x
   x = 19,649,549.61/2,028.66
6. Step 6: Final answer
   x = 9,685.99