Finding the Third Proportional to 67,782 and 103,689

Step by Step Solution

1. Step 1: Write the proportion equation
   67,782 : 103,689 = 103,689 : x
2. Step 2: Convert to fraction form
   67,782/103,689 = 103,689/x
3. Step 3: Cross multiply
   67,782x = 103,689 × 103,689
4. Step 4: Simplify right side
   67,782x = 10,751,408,721
5. Step 5: Solve for x
   x = 10,751,408,721/67,782
6. Step 6: Final answer
   x = 158,617.46