Finding the Third Proportional to 37.27 and 83.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37.27 : 83.25 = 83.25 : x
2. Step 2: Convert to fraction form
   37.27/83.25 = 83.25/x
3. Step 3: Cross multiply
   37.27x = 83.25 × 83.25
4. Step 4: Simplify right side
   37.27x = 6,930.56
5. Step 5: Solve for x
   x = 6,930.56/37.27
6. Step 6: Final answer
   x = 185.98