Finding the Third Proportional to 1,524.66 and 3,559.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.66 : 3,559.78 = 3,559.78 : x
2. Step 2: Convert to fraction form
   1,524.66/3,559.78 = 3,559.78/x
3. Step 3: Cross multiply
   1,524.66x = 3,559.78 × 3,559.78
4. Step 4: Simplify right side
   1,524.66x = 12,672,042.55
5. Step 5: Solve for x
   x = 12,672,042.55/1,524.66
6. Step 6: Final answer
   x = 8,311.41