Finding the Third Proportional to 2,588.06 and 5,590.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.06 : 5,590.13 = 5,590.13 : x
2. Step 2: Convert to fraction form
   2,588.06/5,590.13 = 5,590.13/x
3. Step 3: Cross multiply
   2,588.06x = 5,590.13 × 5,590.13
4. Step 4: Simplify right side
   2,588.06x = 31,249,497.52
5. Step 5: Solve for x
   x = 31,249,497.52/2,588.06
6. Step 6: Final answer
   x = 12,074.48