Finding the Third Proportional to 42.53 and 92.27

Step by Step Solution

1. Step 1: Write the proportion equation
   42.53 : 92.27 = 92.27 : x
2. Step 2: Convert to fraction form
   42.53/92.27 = 92.27/x
3. Step 3: Cross multiply
   42.53x = 92.27 × 92.27
4. Step 4: Simplify right side
   42.53x = 8,512.95
5. Step 5: Solve for x
   x = 8,512.95/42.53
6. Step 6: Final answer
   x = 200.16