Finding the Third Proportional to 19,146 and 41,667

Step by Step Solution

1. Step 1: Write the proportion equation
   19,146 : 41,667 = 41,667 : x
2. Step 2: Convert to fraction form
   19,146/41,667 = 41,667/x
3. Step 3: Cross multiply
   19,146x = 41,667 × 41,667
4. Step 4: Simplify right side
   19,146x = 1,736,138,889
5. Step 5: Solve for x
   x = 1,736,138,889/19,146
6. Step 6: Final answer
   x = 90,678.93