Finding the Third Proportional to 37.31 and 80.06

Step by Step Solution

1. Step 1: Write the proportion equation
   37.31 : 80.06 = 80.06 : x
2. Step 2: Convert to fraction form
   37.31/80.06 = 80.06/x
3. Step 3: Cross multiply
   37.31x = 80.06 × 80.06
4. Step 4: Simplify right side
   37.31x = 6,410.00
5. Step 5: Solve for x
   x = 6,410.00/37.31
6. Step 6: Final answer
   x = 171.79