Finding the Third Proportional to 3,880.41 and 5,935.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,880.41 : 5,935.78 = 5,935.78 : x
2. Step 2: Convert to fraction form
   3,880.41/5,935.78 = 5,935.78/x
3. Step 3: Cross multiply
   3,880.41x = 5,935.78 × 5,935.78
4. Step 4: Simplify right side
   3,880.41x = 35,233,499.05
5. Step 5: Solve for x
   x = 35,233,499.05/3,880.41
6. Step 6: Final answer
   x = 9,079.85