Finding the Third Proportional to 19,586 and 41,584

Step by Step Solution

1. Step 1: Write the proportion equation
   19,586 : 41,584 = 41,584 : x
2. Step 2: Convert to fraction form
   19,586/41,584 = 41,584/x
3. Step 3: Cross multiply
   19,586x = 41,584 × 41,584
4. Step 4: Simplify right side
   19,586x = 1,729,229,056
5. Step 5: Solve for x
   x = 1,729,229,056/19,586
6. Step 6: Final answer
   x = 88,289.04