Finding the Third Proportional to 2,027.53 and 3,233.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,027.53 : 3,233.67 = 3,233.67 : x
2. Step 2: Convert to fraction form
   2,027.53/3,233.67 = 3,233.67/x
3. Step 3: Cross multiply
   2,027.53x = 3,233.67 × 3,233.67
4. Step 4: Simplify right side
   2,027.53x = 10,456,633.80
5. Step 5: Solve for x
   x = 10,456,633.80/2,027.53
6. Step 6: Final answer
   x = 5,157.32