Finding the Third Proportional to 17,165 and 37,609

Step by Step Solution

1. Step 1: Write the proportion equation
   17,165 : 37,609 = 37,609 : x
2. Step 2: Convert to fraction form
   17,165/37,609 = 37,609/x
3. Step 3: Cross multiply
   17,165x = 37,609 × 37,609
4. Step 4: Simplify right side
   17,165x = 1,414,436,881
5. Step 5: Solve for x
   x = 1,414,436,881/17,165
6. Step 6: Final answer
   x = 82,402.38