Finding the Third Proportional to 38.20 and 84.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38.20 : 84.56 = 84.56 : x
2. Step 2: Convert to fraction form
   38.20/84.56 = 84.56/x
3. Step 3: Cross multiply
   38.20x = 84.56 × 84.56
4. Step 4: Simplify right side
   38.20x = 7,150.82
5. Step 5: Solve for x
   x = 7,150.82/38.20
6. Step 6: Final answer
   x = 187.18