Finding the Third Proportional to 67.50 and 146.81

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 146.81 = 146.81 : x
2. Step 2: Convert to fraction form
   67.50/146.81 = 146.81/x
3. Step 3: Cross multiply
   67.50x = 146.81 × 146.81
4. Step 4: Simplify right side
   67.50x = 21,553.91
5. Step 5: Solve for x
   x = 21,553.91/67.50
6. Step 6: Final answer
   x = 319.32