Finding the Third Proportional to 47.10 and 103.22

Step by Step Solution

1. Step 1: Write the proportion equation
   47.10 : 103.22 = 103.22 : x
2. Step 2: Convert to fraction form
   47.10/103.22 = 103.22/x
3. Step 3: Cross multiply
   47.10x = 103.22 × 103.22
4. Step 4: Simplify right side
   47.10x = 10,653.40
5. Step 5: Solve for x
   x = 10,653.40/47.10
6. Step 6: Final answer
   x = 226.20