Finding the Third Proportional to 47,632 and 101,824

Step by Step Solution

1. Step 1: Write the proportion equation
   47,632 : 101,824 = 101,824 : x
2. Step 2: Convert to fraction form
   47,632/101,824 = 101,824/x
3. Step 3: Cross multiply
   47,632x = 101,824 × 101,824
4. Step 4: Simplify right side
   47,632x = 10,368,126,976
5. Step 5: Solve for x
   x = 10,368,126,976/47,632
6. Step 6: Final answer
   x = 217,671.46