Finding the Third Proportional to 35,538 and 76,616

Step by Step Solution

1. Step 1: Write the proportion equation
   35,538 : 76,616 = 76,616 : x
2. Step 2: Convert to fraction form
   35,538/76,616 = 76,616/x
3. Step 3: Cross multiply
   35,538x = 76,616 × 76,616
4. Step 4: Simplify right side
   35,538x = 5,870,011,456
5. Step 5: Solve for x
   x = 5,870,011,456/35,538
6. Step 6: Final answer
   x = 165,175.63