Finding the Third Proportional to 3,589.31 and 4,822.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,589.31 : 4,822.88 = 4,822.88 : x
2. Step 2: Convert to fraction form
   3,589.31/4,822.88 = 4,822.88/x
3. Step 3: Cross multiply
   3,589.31x = 4,822.88 × 4,822.88
4. Step 4: Simplify right side
   3,589.31x = 23,260,123.27
5. Step 5: Solve for x
   x = 23,260,123.27/3,589.31
6. Step 6: Final answer
   x = 6,480.38