Finding the Third Proportional to 144.75 and 154.31

Step by Step Solution

1. Step 1: Write the proportion equation
   144.75 : 154.31 = 154.31 : x
2. Step 2: Convert to fraction form
   144.75/154.31 = 154.31/x
3. Step 3: Cross multiply
   144.75x = 154.31 × 154.31
4. Step 4: Simplify right side
   144.75x = 23,812.35
5. Step 5: Solve for x
   x = 23,812.35/144.75
6. Step 6: Final answer
   x = 164.51