Finding the Third Proportional to 29.53 and 59.48

Step by Step Solution

1. Step 1: Write the proportion equation
   29.53 : 59.48 = 59.48 : x
2. Step 2: Convert to fraction form
   29.53/59.48 = 59.48/x
3. Step 3: Cross multiply
   29.53x = 59.48 × 59.48
4. Step 4: Simplify right side
   29.53x = 3,538.39
5. Step 5: Solve for x
   x = 3,538.39/29.53
6. Step 6: Final answer
   x = 119.82