Finding the Third Proportional to 16,640 and 36,980

Step by Step Solution

1. Step 1: Write the proportion equation
   16,640 : 36,980 = 36,980 : x
2. Step 2: Convert to fraction form
   16,640/36,980 = 36,980/x
3. Step 3: Cross multiply
   16,640x = 36,980 × 36,980
4. Step 4: Simplify right side
   16,640x = 1,367,520,400
5. Step 5: Solve for x
   x = 1,367,520,400/16,640
6. Step 6: Final answer
   x = 82,182.72