Finding the Third Proportional to 37.25 and 81.31

Step by Step Solution

1. Step 1: Write the proportion equation
   37.25 : 81.31 = 81.31 : x
2. Step 2: Convert to fraction form
   37.25/81.31 = 81.31/x
3. Step 3: Cross multiply
   37.25x = 81.31 × 81.31
4. Step 4: Simplify right side
   37.25x = 6,611.72
5. Step 5: Solve for x
   x = 6,611.72/37.25
6. Step 6: Final answer
   x = 177.50