Finding the Third Proportional to 67.27 and 145.65

Step by Step Solution

1. Step 1: Write the proportion equation
   67.27 : 145.65 = 145.65 : x
2. Step 2: Convert to fraction form
   67.27/145.65 = 145.65/x
3. Step 3: Cross multiply
   67.27x = 145.65 × 145.65
4. Step 4: Simplify right side
   67.27x = 21,215.21
5. Step 5: Solve for x
   x = 21,215.21/67.27
6. Step 6: Final answer
   x = 315.36