Finding the Third Proportional to 65,616 and 101,795

Step by Step Solution

1. Step 1: Write the proportion equation
   65,616 : 101,795 = 101,795 : x
2. Step 2: Convert to fraction form
   65,616/101,795 = 101,795/x
3. Step 3: Cross multiply
   65,616x = 101,795 × 101,795
4. Step 4: Simplify right side
   65,616x = 10,362,222,025
5. Step 5: Solve for x
   x = 10,362,222,025/65,616
6. Step 6: Final answer
   x = 157,922.18