Finding the Third Proportional to 9,740 and 16,697

Step by Step Solution

1. Step 1: Write the proportion equation
   9,740 : 16,697 = 16,697 : x
2. Step 2: Convert to fraction form
   9,740/16,697 = 16,697/x
3. Step 3: Cross multiply
   9,740x = 16,697 × 16,697
4. Step 4: Simplify right side
   9,740x = 278,789,809
5. Step 5: Solve for x
   x = 278,789,809/9,740
6. Step 6: Final answer
   x = 28,623.18