Finding the Third Proportional to 37.05 and 86.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37.05 : 86.56 = 86.56 : x
2. Step 2: Convert to fraction form
   37.05/86.56 = 86.56/x
3. Step 3: Cross multiply
   37.05x = 86.56 × 86.56
4. Step 4: Simplify right side
   37.05x = 7,493.07
5. Step 5: Solve for x
   x = 7,493.07/37.05
6. Step 6: Final answer
   x = 202.22