Finding the Third Proportional to 42.94 and 92.56

Step by Step Solution

1. Step 1: Write the proportion equation
   42.94 : 92.56 = 92.56 : x
2. Step 2: Convert to fraction form
   42.94/92.56 = 92.56/x
3. Step 3: Cross multiply
   42.94x = 92.56 × 92.56
4. Step 4: Simplify right side
   42.94x = 8,567.82
5. Step 5: Solve for x
   x = 8,567.82/42.94
6. Step 6: Final answer
   x = 199.54