Finding the Third Proportional to 32.77 and 71.23

Step by Step Solution

1. Step 1: Write the proportion equation
   32.77 : 71.23 = 71.23 : x
2. Step 2: Convert to fraction form
   32.77/71.23 = 71.23/x
3. Step 3: Cross multiply
   32.77x = 71.23 × 71.23
4. Step 4: Simplify right side
   32.77x = 5,073.22
5. Step 5: Solve for x
   x = 5,073.22/32.77
6. Step 6: Final answer
   x = 154.83