Finding the Third Proportional to 2,577.50 and 5,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.50 : 5,543.50 = 5,543.50 : x
2. Step 2: Convert to fraction form
   2,577.50/5,543.50 = 5,543.50/x
3. Step 3: Cross multiply
   2,577.50x = 5,543.50 × 5,543.50
4. Step 4: Simplify right side
   2,577.50x = 30,730,392.25
5. Step 5: Solve for x
   x = 30,730,392.25/2,577.50
6. Step 6: Final answer
   x = 11,922.56