Finding the Third Proportional to 19,582 and 41,966

Step by Step Solution

1. Step 1: Write the proportion equation
   19,582 : 41,966 = 41,966 : x
2. Step 2: Convert to fraction form
   19,582/41,966 = 41,966/x
3. Step 3: Cross multiply
   19,582x = 41,966 × 41,966
4. Step 4: Simplify right side
   19,582x = 1,761,145,156
5. Step 5: Solve for x
   x = 1,761,145,156/19,582
6. Step 6: Final answer
   x = 89,936.94