Finding the Third Proportional to 65,702 and 101,105

Step by Step Solution

1. Step 1: Write the proportion equation
   65,702 : 101,105 = 101,105 : x
2. Step 2: Convert to fraction form
   65,702/101,105 = 101,105/x
3. Step 3: Cross multiply
   65,702x = 101,105 × 101,105
4. Step 4: Simplify right side
   65,702x = 10,222,221,025
5. Step 5: Solve for x
   x = 10,222,221,025/65,702
6. Step 6: Final answer
   x = 155,584.62