Finding the Third Proportional to 2,290.78 and 3,539.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,290.78 : 3,539.53 = 3,539.53 : x
2. Step 2: Convert to fraction form
   2,290.78/3,539.53 = 3,539.53/x
3. Step 3: Cross multiply
   2,290.78x = 3,539.53 × 3,539.53
4. Step 4: Simplify right side
   2,290.78x = 12,528,281.47
5. Step 5: Solve for x
   x = 12,528,281.47/2,290.78
6. Step 6: Final answer
   x = 5,469.00