Finding the Third Proportional to 17,184 and 37,689

Step by Step Solution

1. Step 1: Write the proportion equation
   17,184 : 37,689 = 37,689 : x
2. Step 2: Convert to fraction form
   17,184/37,689 = 37,689/x
3. Step 3: Cross multiply
   17,184x = 37,689 × 37,689
4. Step 4: Simplify right side
   17,184x = 1,420,460,721
5. Step 5: Solve for x
   x = 1,420,460,721/17,184
6. Step 6: Final answer
   x = 82,661.82