Finding the Third Proportional to 36,771 and 55,009

Step by Step Solution

1. Step 1: Write the proportion equation
   36,771 : 55,009 = 55,009 : x
2. Step 2: Convert to fraction form
   36,771/55,009 = 55,009/x
3. Step 3: Cross multiply
   36,771x = 55,009 × 55,009
4. Step 4: Simplify right side
   36,771x = 3,025,990,081
5. Step 5: Solve for x
   x = 3,025,990,081/36,771
6. Step 6: Final answer
   x = 82,292.84