Finding the Third Proportional to 29.49 and 61.83

Step by Step Solution

1. Step 1: Write the proportion equation
   29.49 : 61.83 = 61.83 : x
2. Step 2: Convert to fraction form
   29.49/61.83 = 61.83/x
3. Step 3: Cross multiply
   29.49x = 61.83 × 61.83
4. Step 4: Simplify right side
   29.49x = 3,822.73
5. Step 5: Solve for x
   x = 3,822.73/29.49
6. Step 6: Final answer
   x = 129.64