Finding the Third Proportional to 16,780 and 34,288

Step by Step Solution

1. Step 1: Write the proportion equation
   16,780 : 34,288 = 34,288 : x
2. Step 2: Convert to fraction form
   16,780/34,288 = 34,288/x
3. Step 3: Cross multiply
   16,780x = 34,288 × 34,288
4. Step 4: Simplify right side
   16,780x = 1,175,666,944
5. Step 5: Solve for x
   x = 1,175,666,944/16,780
6. Step 6: Final answer
   x = 70,063.58