Finding the Third Proportional to 32.73 and 69.73

Step by Step Solution

1. Step 1: Write the proportion equation
   32.73 : 69.73 = 69.73 : x
2. Step 2: Convert to fraction form
   32.73/69.73 = 69.73/x
3. Step 3: Cross multiply
   32.73x = 69.73 × 69.73
4. Step 4: Simplify right side
   32.73x = 4,862.61
5. Step 5: Solve for x
   x = 4,862.61/32.73
6. Step 6: Final answer
   x = 148.57