Finding the Third Proportional to 2,464.69 and 3,542.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.69 : 3,542.81 = 3,542.81 : x
2. Step 2: Convert to fraction form
   2,464.69/3,542.81 = 3,542.81/x
3. Step 3: Cross multiply
   2,464.69x = 3,542.81 × 3,542.81
4. Step 4: Simplify right side
   2,464.69x = 12,551,520.41
5. Step 5: Solve for x
   x = 12,551,520.41/2,464.69
6. Step 6: Final answer
   x = 5,092.54