Finding the Third Proportional to 2,586.38 and 5,582.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.38 : 5,582.81 = 5,582.81 : x
2. Step 2: Convert to fraction form
   2,586.38/5,582.81 = 5,582.81/x
3. Step 3: Cross multiply
   2,586.38x = 5,582.81 × 5,582.81
4. Step 4: Simplify right side
   2,586.38x = 31,167,795.41
5. Step 5: Solve for x
   x = 31,167,795.41/2,586.38
6. Step 6: Final answer
   x = 12,050.76