Finding the Third Proportional to 41,267 and 86,584

Step by Step Solution

1. Step 1: Write the proportion equation
   41,267 : 86,584 = 86,584 : x
2. Step 2: Convert to fraction form
   41,267/86,584 = 86,584/x
3. Step 3: Cross multiply
   41,267x = 86,584 × 86,584
4. Step 4: Simplify right side
   41,267x = 7,496,789,056
5. Step 5: Solve for x
   x = 7,496,789,056/41,267
6. Step 6: Final answer
   x = 181,665.47