Finding the Third Proportional to 2,588.25 and 5,586.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.25 : 5,586.31 = 5,586.31 : x
2. Step 2: Convert to fraction form
   2,588.25/5,586.31 = 5,586.31/x
3. Step 3: Cross multiply
   2,588.25x = 5,586.31 × 5,586.31
4. Step 4: Simplify right side
   2,588.25x = 31,206,887.35
5. Step 5: Solve for x
   x = 31,206,887.35/2,588.25
6. Step 6: Final answer
   x = 12,057.14