Finding the Third Proportional to 16,879 and 37,214

Step by Step Solution

1. Step 1: Write the proportion equation
   16,879 : 37,214 = 37,214 : x
2. Step 2: Convert to fraction form
   16,879/37,214 = 37,214/x
3. Step 3: Cross multiply
   16,879x = 37,214 × 37,214
4. Step 4: Simplify right side
   16,879x = 1,384,881,796
5. Step 5: Solve for x
   x = 1,384,881,796/16,879
6. Step 6: Final answer
   x = 82,047.62