Finding the Third Proportional to 47,641 and 101,610

Step by Step Solution

1. Step 1: Write the proportion equation
   47,641 : 101,610 = 101,610 : x
2. Step 2: Convert to fraction form
   47,641/101,610 = 101,610/x
3. Step 3: Cross multiply
   47,641x = 101,610 × 101,610
4. Step 4: Simplify right side
   47,641x = 10,324,592,100
5. Step 5: Solve for x
   x = 10,324,592,100/47,641
6. Step 6: Final answer
   x = 216,716.53