Finding the Third Proportional to 72.84 and 171.02

Step by Step Solution

1. Step 1: Write the proportion equation
   72.84 : 171.02 = 171.02 : x
2. Step 2: Convert to fraction form
   72.84/171.02 = 171.02/x
3. Step 3: Cross multiply
   72.84x = 171.02 × 171.02
4. Step 4: Simplify right side
   72.84x = 29,249.01
5. Step 5: Solve for x
   x = 29,249.01/72.84
6. Step 6: Final answer
   x = 401.53