Finding the Third Proportional to 2,588.63 and 5,543.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.63 : 5,543.44 = 5,543.44 : x
2. Step 2: Convert to fraction form
   2,588.63/5,543.44 = 5,543.44/x
3. Step 3: Cross multiply
   2,588.63x = 5,543.44 × 5,543.44
4. Step 4: Simplify right side
   2,588.63x = 30,729,699.32
5. Step 5: Solve for x
   x = 30,729,699.32/2,588.63
6. Step 6: Final answer
   x = 11,871.05