Finding the Third Proportional to 36.75 and 71.81

Step by Step Solution

1. Step 1: Write the proportion equation
   36.75 : 71.81 = 71.81 : x
2. Step 2: Convert to fraction form
   36.75/71.81 = 71.81/x
3. Step 3: Cross multiply
   36.75x = 71.81 × 71.81
4. Step 4: Simplify right side
   36.75x = 5,157.04
5. Step 5: Solve for x
   x = 5,157.04/36.75
6. Step 6: Final answer
   x = 140.33