Finding the Third Proportional to 63,828 and 101,022

Step by Step Solution

1. Step 1: Write the proportion equation
   63,828 : 101,022 = 101,022 : x
2. Step 2: Convert to fraction form
   63,828/101,022 = 101,022/x
3. Step 3: Cross multiply
   63,828x = 101,022 × 101,022
4. Step 4: Simplify right side
   63,828x = 10,205,444,484
5. Step 5: Solve for x
   x = 10,205,444,484/63,828
6. Step 6: Final answer
   x = 159,889.77