Finding the Third Proportional to 2,566.69 and 5,543.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.69 : 5,543.63 = 5,543.63 : x
2. Step 2: Convert to fraction form
   2,566.69/5,543.63 = 5,543.63/x
3. Step 3: Cross multiply
   2,566.69x = 5,543.63 × 5,543.63
4. Step 4: Simplify right side
   2,566.69x = 30,731,778.14
5. Step 5: Solve for x
   x = 30,731,778.14/2,566.69
6. Step 6: Final answer
   x = 11,973.32