Finding the Third Proportional to 37.38 and 89.31

Step by Step Solution

1. Step 1: Write the proportion equation
   37.38 : 89.31 = 89.31 : x
2. Step 2: Convert to fraction form
   37.38/89.31 = 89.31/x
3. Step 3: Cross multiply
   37.38x = 89.31 × 89.31
4. Step 4: Simplify right side
   37.38x = 7,976.72
5. Step 5: Solve for x
   x = 7,976.72/37.38
6. Step 6: Final answer
   x = 213.42