Finding the Third Proportional to 47,696 and 101,722

Step by Step Solution

1. Step 1: Write the proportion equation
   47,696 : 101,722 = 101,722 : x
2. Step 2: Convert to fraction form
   47,696/101,722 = 101,722/x
3. Step 3: Cross multiply
   47,696x = 101,722 × 101,722
4. Step 4: Simplify right side
   47,696x = 10,347,365,284
5. Step 5: Solve for x
   x = 10,347,365,284/47,696
6. Step 6: Final answer
   x = 216,944.09