Finding the Third Proportional to 2,884.64 and 3,915.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,884.64 : 3,915.56 = 3,915.56 : x
2. Step 2: Convert to fraction form
   2,884.64/3,915.56 = 3,915.56/x
3. Step 3: Cross multiply
   2,884.64x = 3,915.56 × 3,915.56
4. Step 4: Simplify right side
   2,884.64x = 15,331,629.69
5. Step 5: Solve for x
   x = 15,331,629.69/2,884.64
6. Step 6: Final answer
   x = 5,314.92