Finding the Third Proportional to 32.95 and 67.27

Step by Step Solution

1. Step 1: Write the proportion equation
   32.95 : 67.27 = 67.27 : x
2. Step 2: Convert to fraction form
   32.95/67.27 = 67.27/x
3. Step 3: Cross multiply
   32.95x = 67.27 × 67.27
4. Step 4: Simplify right side
   32.95x = 4,525.06
5. Step 5: Solve for x
   x = 4,525.06/32.95
6. Step 6: Final answer
   x = 137.34