Finding the Third Proportional to 42.38 and 93.56

Step by Step Solution

1. Step 1: Write the proportion equation
   42.38 : 93.56 = 93.56 : x
2. Step 2: Convert to fraction form
   42.38/93.56 = 93.56/x
3. Step 3: Cross multiply
   42.38x = 93.56 × 93.56
4. Step 4: Simplify right side
   42.38x = 8,753.94
5. Step 5: Solve for x
   x = 8,753.94/42.38
6. Step 6: Final answer
   x = 206.58