Finding the Third Proportional to 27.75 and 71.38

Step by Step Solution

1. Step 1: Write the proportion equation
   27.75 : 71.38 = 71.38 : x
2. Step 2: Convert to fraction form
   27.75/71.38 = 71.38/x
3. Step 3: Cross multiply
   27.75x = 71.38 × 71.38
4. Step 4: Simplify right side
   27.75x = 5,094.39
5. Step 5: Solve for x
   x = 5,094.39/27.75
6. Step 6: Final answer
   x = 183.58