Finding the Third Proportional to 43,682 and 65,884

Step by Step Solution

1. Step 1: Write the proportion equation
   43,682 : 65,884 = 65,884 : x
2. Step 2: Convert to fraction form
   43,682/65,884 = 65,884/x
3. Step 3: Cross multiply
   43,682x = 65,884 × 65,884
4. Step 4: Simplify right side
   43,682x = 4,340,701,456
5. Step 5: Solve for x
   x = 4,340,701,456/43,682
6. Step 6: Final answer
   x = 99,370.48