Finding the Third Proportional to 2,566.69 and 5,543.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.69 : 5,543.02 = 5,543.02 : x
2. Step 2: Convert to fraction form
   2,566.69/5,543.02 = 5,543.02/x
3. Step 3: Cross multiply
   2,566.69x = 5,543.02 × 5,543.02
4. Step 4: Simplify right side
   2,566.69x = 30,725,022.22
5. Step 5: Solve for x
   x = 30,725,022.22/2,566.69
6. Step 6: Final answer
   x = 11,970.69