Finding the Third Proportional to 37.02 and 76.89

Step by Step Solution

1. Step 1: Write the proportion equation
   37.02 : 76.89 = 76.89 : x
2. Step 2: Convert to fraction form
   37.02/76.89 = 76.89/x
3. Step 3: Cross multiply
   37.02x = 76.89 × 76.89
4. Step 4: Simplify right side
   37.02x = 5,911.57
5. Step 5: Solve for x
   x = 5,911.57/37.02
6. Step 6: Final answer
   x = 159.69