Finding the Third Proportional to 19,444 and 41,642

Step by Step Solution

1. Step 1: Write the proportion equation
   19,444 : 41,642 = 41,642 : x
2. Step 2: Convert to fraction form
   19,444/41,642 = 41,642/x
3. Step 3: Cross multiply
   19,444x = 41,642 × 41,642
4. Step 4: Simplify right side
   19,444x = 1,734,056,164
5. Step 5: Solve for x
   x = 1,734,056,164/19,444
6. Step 6: Final answer
   x = 89,182.07