Finding the Third Proportional to 159.33 and 171.42

Step by Step Solution

1. Step 1: Write the proportion equation
   159.33 : 171.42 = 171.42 : x
2. Step 2: Convert to fraction form
   159.33/171.42 = 171.42/x
3. Step 3: Cross multiply
   159.33x = 171.42 × 171.42
4. Step 4: Simplify right side
   159.33x = 29,385.46
5. Step 5: Solve for x
   x = 29,385.46/159.33
6. Step 6: Final answer
   x = 184.43