Finding the Third Proportional to 65.44 and 142.27

Step by Step Solution

1. Step 1: Write the proportion equation
   65.44 : 142.27 = 142.27 : x
2. Step 2: Convert to fraction form
   65.44/142.27 = 142.27/x
3. Step 3: Cross multiply
   65.44x = 142.27 × 142.27
4. Step 4: Simplify right side
   65.44x = 20,239.51
5. Step 5: Solve for x
   x = 20,239.51/65.44
6. Step 6: Final answer
   x = 309.30