Finding the Third Proportional to 20.50 and 55.38

Step by Step Solution

1. Step 1: Write the proportion equation
   20.50 : 55.38 = 55.38 : x
2. Step 2: Convert to fraction form
   20.50/55.38 = 55.38/x
3. Step 3: Cross multiply
   20.50x = 55.38 × 55.38
4. Step 4: Simplify right side
   20.50x = 3,066.39
5. Step 5: Solve for x
   x = 3,066.39/20.50
6. Step 6: Final answer
   x = 149.58