Finding the Third Proportional to 65,802 and 105,969

Step by Step Solution

1. Step 1: Write the proportion equation
   65,802 : 105,969 = 105,969 : x
2. Step 2: Convert to fraction form
   65,802/105,969 = 105,969/x
3. Step 3: Cross multiply
   65,802x = 105,969 × 105,969
4. Step 4: Simplify right side
   65,802x = 11,229,428,961
5. Step 5: Solve for x
   x = 11,229,428,961/65,802
6. Step 6: Final answer
   x = 170,654.83