Finding the Third Proportional to 21,740 and 41,966

Step by Step Solution

1. Step 1: Write the proportion equation
   21,740 : 41,966 = 41,966 : x
2. Step 2: Convert to fraction form
   21,740/41,966 = 41,966/x
3. Step 3: Cross multiply
   21,740x = 41,966 × 41,966
4. Step 4: Simplify right side
   21,740x = 1,761,145,156
5. Step 5: Solve for x
   x = 1,761,145,156/21,740
6. Step 6: Final answer
   x = 81,009.44