Finding the Third Proportional to 42.75 and 92.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42.75 : 92.25 = 92.25 : x
2. Step 2: Convert to fraction form
   42.75/92.25 = 92.25/x
3. Step 3: Cross multiply
   42.75x = 92.25 × 92.25
4. Step 4: Simplify right side
   42.75x = 8,510.06
5. Step 5: Solve for x
   x = 8,510.06/42.75
6. Step 6: Final answer
   x = 199.07