Finding the Third Proportional to 17,165 and 37,611

Step by Step Solution

1. Step 1: Write the proportion equation
   17,165 : 37,611 = 37,611 : x
2. Step 2: Convert to fraction form
   17,165/37,611 = 37,611/x
3. Step 3: Cross multiply
   17,165x = 37,611 × 37,611
4. Step 4: Simplify right side
   17,165x = 1,414,587,321
5. Step 5: Solve for x
   x = 1,414,587,321/17,165
6. Step 6: Final answer
   x = 82,411.15