Finding the Third Proportional to 12,740 and 18,966

Step by Step Solution

1. Step 1: Write the proportion equation
   12,740 : 18,966 = 18,966 : x
2. Step 2: Convert to fraction form
   12,740/18,966 = 18,966/x
3. Step 3: Cross multiply
   12,740x = 18,966 × 18,966
4. Step 4: Simplify right side
   12,740x = 359,709,156
5. Step 5: Solve for x
   x = 359,709,156/12,740
6. Step 6: Final answer
   x = 28,234.63