Finding the Third Proportional to 16,706 and 35,578

Step by Step Solution

1. Step 1: Write the proportion equation
   16,706 : 35,578 = 35,578 : x
2. Step 2: Convert to fraction form
   16,706/35,578 = 35,578/x
3. Step 3: Cross multiply
   16,706x = 35,578 × 35,578
4. Step 4: Simplify right side
   16,706x = 1,265,794,084
5. Step 5: Solve for x
   x = 1,265,794,084/16,706
6. Step 6: Final answer
   x = 75,768.83