Finding the Third Proportional to 17,084 and 37,533

Step by Step Solution

1. Step 1: Write the proportion equation
   17,084 : 37,533 = 37,533 : x
2. Step 2: Convert to fraction form
   17,084/37,533 = 37,533/x
3. Step 3: Cross multiply
   17,084x = 37,533 × 37,533
4. Step 4: Simplify right side
   17,084x = 1,408,726,089
5. Step 5: Solve for x
   x = 1,408,726,089/17,084
6. Step 6: Final answer
   x = 82,458.80