Finding the Third Proportional to 2,857.36 and 3,915.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,857.36 : 3,915.84 = 3,915.84 : x
2. Step 2: Convert to fraction form
   2,857.36/3,915.84 = 3,915.84/x
3. Step 3: Cross multiply
   2,857.36x = 3,915.84 × 3,915.84
4. Step 4: Simplify right side
   2,857.36x = 15,333,832.27
5. Step 5: Solve for x
   x = 15,333,832.27/2,857.36
6. Step 6: Final answer
   x = 5,366.43