Finding the Third Proportional to 42.81 and 92.31

Step by Step Solution

1. Step 1: Write the proportion equation
   42.81 : 92.31 = 92.31 : x
2. Step 2: Convert to fraction form
   42.81/92.31 = 92.31/x
3. Step 3: Cross multiply
   42.81x = 92.31 × 92.31
4. Step 4: Simplify right side
   42.81x = 8,521.60
5. Step 5: Solve for x
   x = 8,521.60/42.81
6. Step 6: Final answer
   x = 199.04