Finding the Third Proportional to 13.42 and 31.94

Step by Step Solution

1. Step 1: Write the proportion equation
   13.42 : 31.94 = 31.94 : x
2. Step 2: Convert to fraction form
   13.42/31.94 = 31.94/x
3. Step 3: Cross multiply
   13.42x = 31.94 × 31.94
4. Step 4: Simplify right side
   13.42x = 1,020.10
5. Step 5: Solve for x
   x = 1,020.10/13.42
6. Step 6: Final answer
   x = 75.99