Finding the Third Proportional to 43,947 and 68,105

Step by Step Solution

1. Step 1: Write the proportion equation
   43,947 : 68,105 = 68,105 : x
2. Step 2: Convert to fraction form
   43,947/68,105 = 68,105/x
3. Step 3: Cross multiply
   43,947x = 68,105 × 68,105
4. Step 4: Simplify right side
   43,947x = 4,638,291,025
5. Step 5: Solve for x
   x = 4,638,291,025/43,947
6. Step 6: Final answer
   x = 105,542.84