Finding the Third Proportional to 65,436 and 103,782

Step by Step Solution

1. Step 1: Write the proportion equation
   65,436 : 103,782 = 103,782 : x
2. Step 2: Convert to fraction form
   65,436/103,782 = 103,782/x
3. Step 3: Cross multiply
   65,436x = 103,782 × 103,782
4. Step 4: Simplify right side
   65,436x = 10,770,703,524
5. Step 5: Solve for x
   x = 10,770,703,524/65,436
6. Step 6: Final answer
   x = 164,599.05