Finding the Third Proportional to 47,664 and 101,870

Step by Step Solution

1. Step 1: Write the proportion equation
   47,664 : 101,870 = 101,870 : x
2. Step 2: Convert to fraction form
   47,664/101,870 = 101,870/x
3. Step 3: Cross multiply
   47,664x = 101,870 × 101,870
4. Step 4: Simplify right side
   47,664x = 10,377,496,900
5. Step 5: Solve for x
   x = 10,377,496,900/47,664
6. Step 6: Final answer
   x = 217,721.91