Finding the Third Proportional to 32.36 and 74.56

Step by Step Solution

1. Step 1: Write the proportion equation
   32.36 : 74.56 = 74.56 : x
2. Step 2: Convert to fraction form
   32.36/74.56 = 74.56/x
3. Step 3: Cross multiply
   32.36x = 74.56 × 74.56
4. Step 4: Simplify right side
   32.36x = 5,559.57
5. Step 5: Solve for x
   x = 5,559.57/32.36
6. Step 6: Final answer
   x = 171.81