Finding the Third Proportional to 9,740 and 14,610

Step by Step Solution

1. Step 1: Write the proportion equation
   9,740 : 14,610 = 14,610 : x
2. Step 2: Convert to fraction form
   9,740/14,610 = 14,610/x
3. Step 3: Cross multiply
   9,740x = 14,610 × 14,610
4. Step 4: Simplify right side
   9,740x = 213,452,100
5. Step 5: Solve for x
   x = 213,452,100/9,740
6. Step 6: Final answer
   x = 21,915