Finding the Third Proportional to 2,558.81 and 5,389.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558.81 : 5,389.31 = 5,389.31 : x
2. Step 2: Convert to fraction form
   2,558.81/5,389.31 = 5,389.31/x
3. Step 3: Cross multiply
   2,558.81x = 5,389.31 × 5,389.31
4. Step 4: Simplify right side
   2,558.81x = 29,044,689.22
5. Step 5: Solve for x
   x = 29,044,689.22/2,558.81
6. Step 6: Final answer
   x = 11,350.85