Finding the Third Proportional to 16,907 and 37,189

Step by Step Solution

1. Step 1: Write the proportion equation
   16,907 : 37,189 = 37,189 : x
2. Step 2: Convert to fraction form
   16,907/37,189 = 37,189/x
3. Step 3: Cross multiply
   16,907x = 37,189 × 37,189
4. Step 4: Simplify right side
   16,907x = 1,383,021,721
5. Step 5: Solve for x
   x = 1,383,021,721/16,907
6. Step 6: Final answer
   x = 81,801.72