Finding the Third Proportional to 32.38 and 72.94

Step by Step Solution

1. Step 1: Write the proportion equation
   32.38 : 72.94 = 72.94 : x
2. Step 2: Convert to fraction form
   32.38/72.94 = 72.94/x
3. Step 3: Cross multiply
   32.38x = 72.94 × 72.94
4. Step 4: Simplify right side
   32.38x = 5,319.88
5. Step 5: Solve for x
   x = 5,319.88/32.38
6. Step 6: Final answer
   x = 164.32