Finding the Third Proportional to 47.38 and 103.63

Step by Step Solution

1. Step 1: Write the proportion equation
   47.38 : 103.63 = 103.63 : x
2. Step 2: Convert to fraction form
   47.38/103.63 = 103.63/x
3. Step 3: Cross multiply
   47.38x = 103.63 × 103.63
4. Step 4: Simplify right side
   47.38x = 10,738.14
5. Step 5: Solve for x
   x = 10,738.14/47.38
6. Step 6: Final answer
   x = 226.66