Finding the Third Proportional to 47.43 and 72.12

Step by Step Solution

1. Step 1: Write the proportion equation
   47.43 : 72.12 = 72.12 : x
2. Step 2: Convert to fraction form
   47.43/72.12 = 72.12/x
3. Step 3: Cross multiply
   47.43x = 72.12 × 72.12
4. Step 4: Simplify right side
   47.43x = 5,201.73
5. Step 5: Solve for x
   x = 5,201.73/47.43
6. Step 6: Final answer
   x = 109.68