Finding the Third Proportional to 43,638 and 65,821

Step by Step Solution

1. Step 1: Write the proportion equation
   43,638 : 65,821 = 65,821 : x
2. Step 2: Convert to fraction form
   43,638/65,821 = 65,821/x
3. Step 3: Cross multiply
   43,638x = 65,821 × 65,821
4. Step 4: Simplify right side
   43,638x = 4,332,404,041
5. Step 5: Solve for x
   x = 4,332,404,041/43,638
6. Step 6: Final answer
   x = 99,280.54