Finding the Third Proportional to 3,667.78 and 8,569.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,667.78 : 8,569.55 = 8,569.55 : x
2. Step 2: Convert to fraction form
   3,667.78/8,569.55 = 8,569.55/x
3. Step 3: Cross multiply
   3,667.78x = 8,569.55 × 8,569.55
4. Step 4: Simplify right side
   3,667.78x = 73,437,133.64
5. Step 5: Solve for x
   x = 73,437,133.64/3,667.78
6. Step 6: Final answer
   x = 20,022.22