Finding the Third Proportional to 17,398 and 37,982

Step by Step Solution

1. Step 1: Write the proportion equation
   17,398 : 37,982 = 37,982 : x
2. Step 2: Convert to fraction form
   17,398/37,982 = 37,982/x
3. Step 3: Cross multiply
   17,398x = 37,982 × 37,982
4. Step 4: Simplify right side
   17,398x = 1,442,632,324
5. Step 5: Solve for x
   x = 1,442,632,324/17,398
6. Step 6: Final answer
   x = 82,919.43