Finding the Third Proportional to 16,705 and 35,577

Step by Step Solution

1. Step 1: Write the proportion equation
   16,705 : 35,577 = 35,577 : x
2. Step 2: Convert to fraction form
   16,705/35,577 = 35,577/x
3. Step 3: Cross multiply
   16,705x = 35,577 × 35,577
4. Step 4: Simplify right side
   16,705x = 1,265,722,929
5. Step 5: Solve for x
   x = 1,265,722,929/16,705
6. Step 6: Final answer
   x = 75,769.11