Finding the Third Proportional to 37.16 and 76.71

Step by Step Solution

1. Step 1: Write the proportion equation
   37.16 : 76.71 = 76.71 : x
2. Step 2: Convert to fraction form
   37.16/76.71 = 76.71/x
3. Step 3: Cross multiply
   37.16x = 76.71 × 76.71
4. Step 4: Simplify right side
   37.16x = 5,884.57
5. Step 5: Solve for x
   x = 5,884.57/37.16
6. Step 6: Final answer
   x = 158.36