Finding the Third Proportional to 29.50 and 61.38

Step by Step Solution

1. Step 1: Write the proportion equation
   29.50 : 61.38 = 61.38 : x
2. Step 2: Convert to fraction form
   29.50/61.38 = 61.38/x
3. Step 3: Cross multiply
   29.50x = 61.38 × 61.38
4. Step 4: Simplify right side
   29.50x = 3,766.89
5. Step 5: Solve for x
   x = 3,766.89/29.50
6. Step 6: Final answer
   x = 127.69