Finding the Third Proportional to 16,898 and 37,180

Step by Step Solution

1. Step 1: Write the proportion equation
   16,898 : 37,180 = 37,180 : x
2. Step 2: Convert to fraction form
   16,898/37,180 = 37,180/x
3. Step 3: Cross multiply
   16,898x = 37,180 × 37,180
4. Step 4: Simplify right side
   16,898x = 1,382,352,400
5. Step 5: Solve for x
   x = 1,382,352,400/16,898
6. Step 6: Final answer
   x = 81,805.68