Finding the Third Proportional to 47.69 and 101.38

Step by Step Solution

1. Step 1: Write the proportion equation
   47.69 : 101.38 = 101.38 : x
2. Step 2: Convert to fraction form
   47.69/101.38 = 101.38/x
3. Step 3: Cross multiply
   47.69x = 101.38 × 101.38
4. Step 4: Simplify right side
   47.69x = 10,276.89
5. Step 5: Solve for x
   x = 10,276.89/47.69
6. Step 6: Final answer
   x = 215.50