Finding the Third Proportional to 2,605.61 and 3,821.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,605.61 : 3,821.55 = 3,821.55 : x
2. Step 2: Convert to fraction form
   2,605.61/3,821.55 = 3,821.55/x
3. Step 3: Cross multiply
   2,605.61x = 3,821.55 × 3,821.55
4. Step 4: Simplify right side
   2,605.61x = 14,604,280.23
5. Step 5: Solve for x
   x = 14,604,280.23/2,605.61
6. Step 6: Final answer
   x = 5,604.95