Finding the Third Proportional to 2,578.08 and 3,878.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.08 : 3,878.51 = 3,878.51 : x
2. Step 2: Convert to fraction form
   2,578.08/3,878.51 = 3,878.51/x
3. Step 3: Cross multiply
   2,578.08x = 3,878.51 × 3,878.51
4. Step 4: Simplify right side
   2,578.08x = 15,042,822.85
5. Step 5: Solve for x
   x = 15,042,822.85/2,578.08
6. Step 6: Final answer
   x = 5,834.90