Finding the Third Proportional to 23.69 and 54.72

Step by Step Solution

1. Step 1: Write the proportion equation
   23.69 : 54.72 = 54.72 : x
2. Step 2: Convert to fraction form
   23.69/54.72 = 54.72/x
3. Step 3: Cross multiply
   23.69x = 54.72 × 54.72
4. Step 4: Simplify right side
   23.69x = 2,994.14
5. Step 5: Solve for x
   x = 2,994.14/23.69
6. Step 6: Final answer
   x = 126.40