Finding the Third Proportional to 145.69 and 161.72

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 161.72 = 161.72 : x
2. Step 2: Convert to fraction form
   145.69/161.72 = 161.72/x
3. Step 3: Cross multiply
   145.69x = 161.72 × 161.72
4. Step 4: Simplify right side
   145.69x = 26,152.95
5. Step 5: Solve for x
   x = 26,152.95/145.69
6. Step 6: Final answer
   x = 179.51