Finding the Third Proportional to 16,629 and 35,694

Step by Step Solution

1. Step 1: Write the proportion equation
   16,629 : 35,694 = 35,694 : x
2. Step 2: Convert to fraction form
   16,629/35,694 = 35,694/x
3. Step 3: Cross multiply
   16,629x = 35,694 × 35,694
4. Step 4: Simplify right side
   16,629x = 1,274,061,636
5. Step 5: Solve for x
   x = 1,274,061,636/16,629
6. Step 6: Final answer
   x = 76,616.85