Finding the Third Proportional to 37.11 and 76.82

Step by Step Solution

1. Step 1: Write the proportion equation
   37.11 : 76.82 = 76.82 : x
2. Step 2: Convert to fraction form
   37.11/76.82 = 76.82/x
3. Step 3: Cross multiply
   37.11x = 76.82 × 76.82
4. Step 4: Simplify right side
   37.11x = 5,901.31
5. Step 5: Solve for x
   x = 5,901.31/37.11
6. Step 6: Final answer
   x = 159.03