Finding the Third Proportional to 2,089.55 and 4,640.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.55 : 4,640.41 = 4,640.41 : x
2. Step 2: Convert to fraction form
   2,089.55/4,640.41 = 4,640.41/x
3. Step 3: Cross multiply
   2,089.55x = 4,640.41 × 4,640.41
4. Step 4: Simplify right side
   2,089.55x = 21,533,442.67
5. Step 5: Solve for x
   x = 21,533,442.67/2,089.55
6. Step 6: Final answer
   x = 10,305.32