Finding the Third Proportional to 42.06 and 89.20

Step by Step Solution

1. Step 1: Write the proportion equation
   42.06 : 89.20 = 89.20 : x
2. Step 2: Convert to fraction form
   42.06/89.20 = 89.20/x
3. Step 3: Cross multiply
   42.06x = 89.20 × 89.20
4. Step 4: Simplify right side
   42.06x = 7,956.94
5. Step 5: Solve for x
   x = 7,956.94/42.06
6. Step 6: Final answer
   x = 189.16