Finding the Third Proportional to 17,286 and 37,701

Step by Step Solution

1. Step 1: Write the proportion equation
   17,286 : 37,701 = 37,701 : x
2. Step 2: Convert to fraction form
   17,286/37,701 = 37,701/x
3. Step 3: Cross multiply
   17,286x = 37,701 × 37,701
4. Step 4: Simplify right side
   17,286x = 1,421,365,401
5. Step 5: Solve for x
   x = 1,421,365,401/17,286
6. Step 6: Final answer
   x = 82,226.39