Finding the Third Proportional to 43,758 and 67,884

Step by Step Solution

1. Step 1: Write the proportion equation
   43,758 : 67,884 = 67,884 : x
2. Step 2: Convert to fraction form
   43,758/67,884 = 67,884/x
3. Step 3: Cross multiply
   43,758x = 67,884 × 67,884
4. Step 4: Simplify right side
   43,758x = 4,608,237,456
5. Step 5: Solve for x
   x = 4,608,237,456/43,758
6. Step 6: Final answer
   x = 105,311.88