Finding the Third Proportional to 16,838 and 34,770

Step by Step Solution

1. Step 1: Write the proportion equation
   16,838 : 34,770 = 34,770 : x
2. Step 2: Convert to fraction form
   16,838/34,770 = 34,770/x
3. Step 3: Cross multiply
   16,838x = 34,770 × 34,770
4. Step 4: Simplify right side
   16,838x = 1,208,952,900
5. Step 5: Solve for x
   x = 1,208,952,900/16,838
6. Step 6: Final answer
   x = 71,799.08