Finding the Third Proportional to 29.53 and 59.06

Step by Step Solution

1. Step 1: Write the proportion equation
   29.53 : 59.06 = 59.06 : x
2. Step 2: Convert to fraction form
   29.53/59.06 = 59.06/x
3. Step 3: Cross multiply
   29.53x = 59.06 × 59.06
4. Step 4: Simplify right side
   29.53x = 3,488.38
5. Step 5: Solve for x
   x = 3,488.38/29.53
6. Step 6: Final answer
   x = 118.13