Finding the Third Proportional to 2,558.62 and 5,582.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558.62 : 5,582.83 = 5,582.83 : x
2. Step 2: Convert to fraction form
   2,558.62/5,582.83 = 5,582.83/x
3. Step 3: Cross multiply
   2,558.62x = 5,582.83 × 5,582.83
4. Step 4: Simplify right side
   2,558.62x = 31,167,991.68
5. Step 5: Solve for x
   x = 31,167,991.68/2,558.62
6. Step 6: Final answer
   x = 12,181.57