Finding the Third Proportional to 61.82 and 133.55

Step by Step Solution

1. Step 1: Write the proportion equation
   61.82 : 133.55 = 133.55 : x
2. Step 2: Convert to fraction form
   61.82/133.55 = 133.55/x
3. Step 3: Cross multiply
   61.82x = 133.55 × 133.55
4. Step 4: Simplify right side
   61.82x = 17,836.85
5. Step 5: Solve for x
   x = 17,836.85/61.82
6. Step 6: Final answer
   x = 288.53