Finding the Third Proportional to 3,633.61 and 5,557.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,633.61 : 5,557.78 = 5,557.78 : x
2. Step 2: Convert to fraction form
   3,633.61/5,557.78 = 5,557.78/x
3. Step 3: Cross multiply
   3,633.61x = 5,557.78 × 5,557.78
4. Step 4: Simplify right side
   3,633.61x = 30,888,932.42
5. Step 5: Solve for x
   x = 30,888,932.42/3,633.61
6. Step 6: Final answer
   x = 8,500.90