Finding the Third Proportional to 19,642 and 41,714

Step by Step Solution

1. Step 1: Write the proportion equation
   19,642 : 41,714 = 41,714 : x
2. Step 2: Convert to fraction form
   19,642/41,714 = 41,714/x
3. Step 3: Cross multiply
   19,642x = 41,714 × 41,714
4. Step 4: Simplify right side
   19,642x = 1,740,057,796
5. Step 5: Solve for x
   x = 1,740,057,796/19,642
6. Step 6: Final answer
   x = 88,588.63