Finding the Third Proportional to 2,837 and 3,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,837 : 3,969.50 = 3,969.50 : x
2. Step 2: Convert to fraction form
   2,837/3,969.50 = 3,969.50/x
3. Step 3: Cross multiply
   2,837x = 3,969.50 × 3,969.50
4. Step 4: Simplify right side
   2,837x = 15,756,930.25
5. Step 5: Solve for x
   x = 15,756,930.25/2,837
6. Step 6: Final answer
   x = 5,554.08