Finding the Third Proportional to 2,839 and 3,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,839 : 3,788.50 = 3,788.50 : x
2. Step 2: Convert to fraction form
   2,839/3,788.50 = 3,788.50/x
3. Step 3: Cross multiply
   2,839x = 3,788.50 × 3,788.50
4. Step 4: Simplify right side
   2,839x = 14,352,732.25
5. Step 5: Solve for x
   x = 14,352,732.25/2,839
6. Step 6: Final answer
   x = 5,055.56