Finding the Third Proportional to 2,615.75 and 3,878.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,615.75 : 3,878.38 = 3,878.38 : x
2. Step 2: Convert to fraction form
   2,615.75/3,878.38 = 3,878.38/x
3. Step 3: Cross multiply
   2,615.75x = 3,878.38 × 3,878.38
4. Step 4: Simplify right side
   2,615.75x = 15,041,792.64
5. Step 5: Solve for x
   x = 15,041,792.64/2,615.75
6. Step 6: Final answer
   x = 5,750.47