Finding the Third Proportional to 23.29 and 59.82

Step by Step Solution

1. Step 1: Write the proportion equation
   23.29 : 59.82 = 59.82 : x
2. Step 2: Convert to fraction form
   23.29/59.82 = 59.82/x
3. Step 3: Cross multiply
   23.29x = 59.82 × 59.82
4. Step 4: Simplify right side
   23.29x = 3,578.64
5. Step 5: Solve for x
   x = 3,578.64/23.29
6. Step 6: Final answer
   x = 153.66