Finding the Third Proportional to 43,678 and 65,878

Step by Step Solution

1. Step 1: Write the proportion equation
   43,678 : 65,878 = 65,878 : x
2. Step 2: Convert to fraction form
   43,678/65,878 = 65,878/x
3. Step 3: Cross multiply
   43,678x = 65,878 × 65,878
4. Step 4: Simplify right side
   43,678x = 4,339,910,884
5. Step 5: Solve for x
   x = 4,339,910,884/43,678
6. Step 6: Final answer
   x = 99,361.48