Finding the Third Proportional to 3,233.53 and 4,619.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,233.53 : 4,619.81 = 4,619.81 : x
2. Step 2: Convert to fraction form
   3,233.53/4,619.81 = 4,619.81/x
3. Step 3: Cross multiply
   3,233.53x = 4,619.81 × 4,619.81
4. Step 4: Simplify right side
   3,233.53x = 21,342,667.54
5. Step 5: Solve for x
   x = 21,342,667.54/3,233.53
6. Step 6: Final answer
   x = 6,600.42