Finding the Third Proportional to 37.09 and 81.83

Step by Step Solution

1. Step 1: Write the proportion equation
   37.09 : 81.83 = 81.83 : x
2. Step 2: Convert to fraction form
   37.09/81.83 = 81.83/x
3. Step 3: Cross multiply
   37.09x = 81.83 × 81.83
4. Step 4: Simplify right side
   37.09x = 6,695.52
5. Step 5: Solve for x
   x = 6,695.52/37.09
6. Step 6: Final answer
   x = 180.52