Finding the Third Proportional to 3,837 and 5,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,837 : 5,016.50 = 5,016.50 : x
2. Step 2: Convert to fraction form
   3,837/5,016.50 = 5,016.50/x
3. Step 3: Cross multiply
   3,837x = 5,016.50 × 5,016.50
4. Step 4: Simplify right side
   3,837x = 25,165,272.25
5. Step 5: Solve for x
   x = 25,165,272.25/3,837
6. Step 6: Final answer
   x = 6,558.58