Finding the Third Proportional to 42.94 and 93.69

Step by Step Solution

1. Step 1: Write the proportion equation
   42.94 : 93.69 = 93.69 : x
2. Step 2: Convert to fraction form
   42.94/93.69 = 93.69/x
3. Step 3: Cross multiply
   42.94x = 93.69 × 93.69
4. Step 4: Simplify right side
   42.94x = 8,777.35
5. Step 5: Solve for x
   x = 8,777.35/42.94
6. Step 6: Final answer
   x = 204.42