Finding the Third Proportional to 32.38 and 42.06

Step by Step Solution

1. Step 1: Write the proportion equation
   32.38 : 42.06 = 42.06 : x
2. Step 2: Convert to fraction form
   32.38/42.06 = 42.06/x
3. Step 3: Cross multiply
   32.38x = 42.06 × 42.06
4. Step 4: Simplify right side
   32.38x = 1,769.25
5. Step 5: Solve for x
   x = 1,769.25/32.38
6. Step 6: Final answer
   x = 54.65