Finding the Third Proportional to 19,164 and 30,771

Step by Step Solution

1. Step 1: Write the proportion equation
   19,164 : 30,771 = 30,771 : x
2. Step 2: Convert to fraction form
   19,164/30,771 = 30,771/x
3. Step 3: Cross multiply
   19,164x = 30,771 × 30,771
4. Step 4: Simplify right side
   19,164x = 946,854,441
5. Step 5: Solve for x
   x = 946,854,441/19,164
6. Step 6: Final answer
   x = 49,407.98