Finding the Third Proportional to 2,578 and 3,860.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578 : 3,860.50 = 3,860.50 : x
2. Step 2: Convert to fraction form
   2,578/3,860.50 = 3,860.50/x
3. Step 3: Cross multiply
   2,578x = 3,860.50 × 3,860.50
4. Step 4: Simplify right side
   2,578x = 14,903,460.25
5. Step 5: Solve for x
   x = 14,903,460.25/2,578
6. Step 6: Final answer
   x = 5,781.02