Finding the Third Proportional to 37.75 and 55.06

Step by Step Solution

1. Step 1: Write the proportion equation
   37.75 : 55.06 = 55.06 : x
2. Step 2: Convert to fraction form
   37.75/55.06 = 55.06/x
3. Step 3: Cross multiply
   37.75x = 55.06 × 55.06
4. Step 4: Simplify right side
   37.75x = 3,031.88
5. Step 5: Solve for x
   x = 3,031.88/37.75
6. Step 6: Final answer
   x = 80.31