Finding the Third Proportional to 29.74 and 61.56

Step by Step Solution

1. Step 1: Write the proportion equation
   29.74 : 61.56 = 61.56 : x
2. Step 2: Convert to fraction form
   29.74/61.56 = 61.56/x
3. Step 3: Cross multiply
   29.74x = 61.56 × 61.56
4. Step 4: Simplify right side
   29.74x = 3,789.46
5. Step 5: Solve for x
   x = 3,789.46/29.74
6. Step 6: Final answer
   x = 127.41