Finding the Third Proportional to 19.50 and 27.06

Step by Step Solution

1. Step 1: Write the proportion equation
   19.50 : 27.06 = 27.06 : x
2. Step 2: Convert to fraction form
   19.50/27.06 = 27.06/x
3. Step 3: Cross multiply
   19.50x = 27.06 × 27.06
4. Step 4: Simplify right side
   19.50x = 732.38
5. Step 5: Solve for x
   x = 732.38/19.50
6. Step 6: Final answer
   x = 37.56