Finding the Third Proportional to 42.42 and 89.64

Step by Step Solution

1. Step 1: Write the proportion equation
   42.42 : 89.64 = 89.64 : x
2. Step 2: Convert to fraction form
   42.42/89.64 = 89.64/x
3. Step 3: Cross multiply
   42.42x = 89.64 × 89.64
4. Step 4: Simplify right side
   42.42x = 8,035.66
5. Step 5: Solve for x
   x = 8,035.66/42.42
6. Step 6: Final answer
   x = 189.44