Finding the Third Proportional to 2,530.78 and 5,559.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,530.78 : 5,559.66 = 5,559.66 : x
2. Step 2: Convert to fraction form
   2,530.78/5,559.66 = 5,559.66/x
3. Step 3: Cross multiply
   2,530.78x = 5,559.66 × 5,559.66
4. Step 4: Simplify right side
   2,530.78x = 30,909,777.62
5. Step 5: Solve for x
   x = 30,909,777.62/2,530.78
6. Step 6: Final answer
   x = 12,213.53