Finding the Third Proportional to 43,635 and 65,816

Step by Step Solution

1. Step 1: Write the proportion equation
   43,635 : 65,816 = 65,816 : x
2. Step 2: Convert to fraction form
   43,635/65,816 = 65,816/x
3. Step 3: Cross multiply
   43,635x = 65,816 × 65,816
4. Step 4: Simplify right side
   43,635x = 4,331,745,856
5. Step 5: Solve for x
   x = 4,331,745,856/43,635
6. Step 6: Final answer
   x = 99,272.28