Finding the Third Proportional to 37.94 and 81.69

Step by Step Solution

1. Step 1: Write the proportion equation
   37.94 : 81.69 = 81.69 : x
2. Step 2: Convert to fraction form
   37.94/81.69 = 81.69/x
3. Step 3: Cross multiply
   37.94x = 81.69 × 81.69
4. Step 4: Simplify right side
   37.94x = 6,672.85
5. Step 5: Solve for x
   x = 6,672.85/37.94
6. Step 6: Final answer
   x = 175.89