Finding the Third Proportional to 29.67 and 61.42

Step by Step Solution

1. Step 1: Write the proportion equation
   29.67 : 61.42 = 61.42 : x
2. Step 2: Convert to fraction form
   29.67/61.42 = 61.42/x
3. Step 3: Cross multiply
   29.67x = 61.42 × 61.42
4. Step 4: Simplify right side
   29.67x = 3,772.17
5. Step 5: Solve for x
   x = 3,772.17/29.67
6. Step 6: Final answer
   x = 127.13