Finding the Third Proportional to 47.25 and 102.25

Step by Step Solution

1. Step 1: Write the proportion equation
   47.25 : 102.25 = 102.25 : x
2. Step 2: Convert to fraction form
   47.25/102.25 = 102.25/x
3. Step 3: Cross multiply
   47.25x = 102.25 × 102.25
4. Step 4: Simplify right side
   47.25x = 10,455.06
5. Step 5: Solve for x
   x = 10,455.06/47.25
6. Step 6: Final answer
   x = 221.27