Finding the Third Proportional to 3,564.84 and 3,883.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,564.84 : 3,883.78 = 3,883.78 : x
2. Step 2: Convert to fraction form
   3,564.84/3,883.78 = 3,883.78/x
3. Step 3: Cross multiply
   3,564.84x = 3,883.78 × 3,883.78
4. Step 4: Simplify right side
   3,564.84x = 15,083,756.80
5. Step 5: Solve for x
   x = 15,083,756.80/3,564.84
6. Step 6: Final answer
   x = 4,231.25