Finding the Third Proportional to 47,424 and 101,760

Step by Step Solution

1. Step 1: Write the proportion equation
   47,424 : 101,760 = 101,760 : x
2. Step 2: Convert to fraction form
   47,424/101,760 = 101,760/x
3. Step 3: Cross multiply
   47,424x = 101,760 × 101,760
4. Step 4: Simplify right side
   47,424x = 10,355,097,600
5. Step 5: Solve for x
   x = 10,355,097,600/47,424
6. Step 6: Final answer
   x = 218,351.42