Finding the Third Proportional to 17,457 and 37,682

Step by Step Solution

1. Step 1: Write the proportion equation
   17,457 : 37,682 = 37,682 : x
2. Step 2: Convert to fraction form
   17,457/37,682 = 37,682/x
3. Step 3: Cross multiply
   17,457x = 37,682 × 37,682
4. Step 4: Simplify right side
   17,457x = 1,419,933,124
5. Step 5: Solve for x
   x = 1,419,933,124/17,457
6. Step 6: Final answer
   x = 81,338.90