Finding the Third Proportional to 16,822 and 35,693

Step by Step Solution

1. Step 1: Write the proportion equation
   16,822 : 35,693 = 35,693 : x
2. Step 2: Convert to fraction form
   16,822/35,693 = 35,693/x
3. Step 3: Cross multiply
   16,822x = 35,693 × 35,693
4. Step 4: Simplify right side
   16,822x = 1,273,990,249
5. Step 5: Solve for x
   x = 1,273,990,249/16,822
6. Step 6: Final answer
   x = 75,733.58