Finding the Third Proportional to 2,605.50 and 3,895.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,605.50 : 3,895.59 = 3,895.59 : x
2. Step 2: Convert to fraction form
   2,605.50/3,895.59 = 3,895.59/x
3. Step 3: Cross multiply
   2,605.50x = 3,895.59 × 3,895.59
4. Step 4: Simplify right side
   2,605.50x = 15,175,650.67
5. Step 5: Solve for x
   x = 15,175,650.67/2,605.50
6. Step 6: Final answer
   x = 5,824.47