Finding the Third Proportional to 72.38 and 160.13

Step by Step Solution

1. Step 1: Write the proportion equation
   72.38 : 160.13 = 160.13 : x
2. Step 2: Convert to fraction form
   72.38/160.13 = 160.13/x
3. Step 3: Cross multiply
   72.38x = 160.13 × 160.13
4. Step 4: Simplify right side
   72.38x = 25,640.02
5. Step 5: Solve for x
   x = 25,640.02/72.38
6. Step 6: Final answer
   x = 354.27