Finding the Third Proportional to 43,674 and 65,872

Step by Step Solution

1. Step 1: Write the proportion equation
   43,674 : 65,872 = 65,872 : x
2. Step 2: Convert to fraction form
   43,674/65,872 = 65,872/x
3. Step 3: Cross multiply
   43,674x = 65,872 × 65,872
4. Step 4: Simplify right side
   43,674x = 4,339,120,384
5. Step 5: Solve for x
   x = 4,339,120,384/43,674
6. Step 6: Final answer
   x = 99,352.48