Finding the Third Proportional to 19,178 and 41,644

Step by Step Solution

1. Step 1: Write the proportion equation
   19,178 : 41,644 = 41,644 : x
2. Step 2: Convert to fraction form
   19,178/41,644 = 41,644/x
3. Step 3: Cross multiply
   19,178x = 41,644 × 41,644
4. Step 4: Simplify right side
   19,178x = 1,734,222,736
5. Step 5: Solve for x
   x = 1,734,222,736/19,178
6. Step 6: Final answer
   x = 90,427.72