Finding the Third Proportional to 47.88 and 102.16

Step by Step Solution

1. Step 1: Write the proportion equation
   47.88 : 102.16 = 102.16 : x
2. Step 2: Convert to fraction form
   47.88/102.16 = 102.16/x
3. Step 3: Cross multiply
   47.88x = 102.16 × 102.16
4. Step 4: Simplify right side
   47.88x = 10,436.60
5. Step 5: Solve for x
   x = 10,436.60/47.88
6. Step 6: Final answer
   x = 217.99