Finding the Third Proportional to 47.46 and 103.15

Step by Step Solution

1. Step 1: Write the proportion equation
   47.46 : 103.15 = 103.15 : x
2. Step 2: Convert to fraction form
   47.46/103.15 = 103.15/x
3. Step 3: Cross multiply
   47.46x = 103.15 × 103.15
4. Step 4: Simplify right side
   47.46x = 10,639.60
5. Step 5: Solve for x
   x = 10,639.60/47.46
6. Step 6: Final answer
   x = 224.18