Finding the Third Proportional to 8,429 and 17,701

Step by Step Solution

1. Step 1: Write the proportion equation
   8,429 : 17,701 = 17,701 : x
2. Step 2: Convert to fraction form
   8,429/17,701 = 17,701/x
3. Step 3: Cross multiply
   8,429x = 17,701 × 17,701
4. Step 4: Simplify right side
   8,429x = 313,325,401
5. Step 5: Solve for x
   x = 313,325,401/8,429
6. Step 6: Final answer
   x = 37,172.31