Finding the Third Proportional to 23.94 and 34.56

Step by Step Solution

1. Step 1: Write the proportion equation
   23.94 : 34.56 = 34.56 : x
2. Step 2: Convert to fraction form
   23.94/34.56 = 34.56/x
3. Step 3: Cross multiply
   23.94x = 34.56 × 34.56
4. Step 4: Simplify right side
   23.94x = 1,194.57
5. Step 5: Solve for x
   x = 1,194.57/23.94
6. Step 6: Final answer
   x = 49.90