Finding the Third Proportional to 2,142.56 and 3,133.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.56 : 3,133.41 = 3,133.41 : x
2. Step 2: Convert to fraction form
   2,142.56/3,133.41 = 3,133.41/x
3. Step 3: Cross multiply
   2,142.56x = 3,133.41 × 3,133.41
4. Step 4: Simplify right side
   2,142.56x = 9,818,234.73
5. Step 5: Solve for x
   x = 9,818,234.73/2,142.56
6. Step 6: Final answer
   x = 4,582.47