Finding the Third Proportional to 9,740 and 14,662

Step by Step Solution

1. Step 1: Write the proportion equation
   9,740 : 14,662 = 14,662 : x
2. Step 2: Convert to fraction form
   9,740/14,662 = 14,662/x
3. Step 3: Cross multiply
   9,740x = 14,662 × 14,662
4. Step 4: Simplify right side
   9,740x = 214,974,244
5. Step 5: Solve for x
   x = 214,974,244/9,740
6. Step 6: Final answer
   x = 22,071.28