Finding the Third Proportional to 2,787.50 and 3,963.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,787.50 : 3,963.40 = 3,963.40 : x
2. Step 2: Convert to fraction form
   2,787.50/3,963.40 = 3,963.40/x
3. Step 3: Cross multiply
   2,787.50x = 3,963.40 × 3,963.40
4. Step 4: Simplify right side
   2,787.50x = 15,708,567.81
5. Step 5: Solve for x
   x = 15,708,567.81/2,787.50
6. Step 6: Final answer
   x = 5,635.36