Finding the Third Proportional to 16,538 and 35,995

Step by Step Solution

1. Step 1: Write the proportion equation
   16,538 : 35,995 = 35,995 : x
2. Step 2: Convert to fraction form
   16,538/35,995 = 35,995/x
3. Step 3: Cross multiply
   16,538x = 35,995 × 35,995
4. Step 4: Simplify right side
   16,538x = 1,295,640,025
5. Step 5: Solve for x
   x = 1,295,640,025/16,538
6. Step 6: Final answer
   x = 78,343.21