Finding the Third Proportional to 65,689 and 101,907

Step by Step Solution

1. Step 1: Write the proportion equation
   65,689 : 101,907 = 101,907 : x
2. Step 2: Convert to fraction form
   65,689/101,907 = 101,907/x
3. Step 3: Cross multiply
   65,689x = 101,907 × 101,907
4. Step 4: Simplify right side
   65,689x = 10,385,036,649
5. Step 5: Solve for x
   x = 10,385,036,649/65,689
6. Step 6: Final answer
   x = 158,094.00