Finding the Third Proportional to 47.54 and 103.23

Step by Step Solution

1. Step 1: Write the proportion equation
   47.54 : 103.23 = 103.23 : x
2. Step 2: Convert to fraction form
   47.54/103.23 = 103.23/x
3. Step 3: Cross multiply
   47.54x = 103.23 × 103.23
4. Step 4: Simplify right side
   47.54x = 10,656.53
5. Step 5: Solve for x
   x = 10,656.53/47.54
6. Step 6: Final answer
   x = 224.15