Finding the Third Proportional to 2,590.13 and 5,543.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,590.13 : 5,543.81 = 5,543.81 : x
2. Step 2: Convert to fraction form
   2,590.13/5,543.81 = 5,543.81/x
3. Step 3: Cross multiply
   2,590.13x = 5,543.81 × 5,543.81
4. Step 4: Simplify right side
   2,590.13x = 30,733,857.04
5. Step 5: Solve for x
   x = 30,733,857.04/2,590.13
6. Step 6: Final answer
   x = 11,865.78