Finding the Third Proportional to 9,740 and 13,782

Step by Step Solution

1. Step 1: Write the proportion equation
   9,740 : 13,782 = 13,782 : x
2. Step 2: Convert to fraction form
   9,740/13,782 = 13,782/x
3. Step 3: Cross multiply
   9,740x = 13,782 × 13,782
4. Step 4: Simplify right side
   9,740x = 189,943,524
5. Step 5: Solve for x
   x = 189,943,524/9,740
6. Step 6: Final answer
   x = 19,501.39