Finding the Third Proportional to 23.82 and 57.02

Step by Step Solution

1. Step 1: Write the proportion equation
   23.82 : 57.02 = 57.02 : x
2. Step 2: Convert to fraction form
   23.82/57.02 = 57.02/x
3. Step 3: Cross multiply
   23.82x = 57.02 × 57.02
4. Step 4: Simplify right side
   23.82x = 3,251.46
5. Step 5: Solve for x
   x = 3,251.46/23.82
6. Step 6: Final answer
   x = 136.48