Finding the Third Proportional to 19,674 and 41,164

Step by Step Solution

1. Step 1: Write the proportion equation
   19,674 : 41,164 = 41,164 : x
2. Step 2: Convert to fraction form
   19,674/41,164 = 41,164/x
3. Step 3: Cross multiply
   19,674x = 41,164 × 41,164
4. Step 4: Simplify right side
   19,674x = 1,694,474,896
5. Step 5: Solve for x
   x = 1,694,474,896/19,674
6. Step 6: Final answer
   x = 86,127.63