Finding the Third Proportional to 95.38 and 142.83

Step by Step Solution

1. Step 1: Write the proportion equation
   95.38 : 142.83 = 142.83 : x
2. Step 2: Convert to fraction form
   95.38/142.83 = 142.83/x
3. Step 3: Cross multiply
   95.38x = 142.83 × 142.83
4. Step 4: Simplify right side
   95.38x = 20,399.87
5. Step 5: Solve for x
   x = 20,399.87/95.38
6. Step 6: Final answer
   x = 213.89