Finding the Third Proportional to 19,856 and 30,772

Step by Step Solution

1. Step 1: Write the proportion equation
   19,856 : 30,772 = 30,772 : x
2. Step 2: Convert to fraction form
   19,856/30,772 = 30,772/x
3. Step 3: Cross multiply
   19,856x = 30,772 × 30,772
4. Step 4: Simplify right side
   19,856x = 946,915,984
5. Step 5: Solve for x
   x = 946,915,984/19,856
6. Step 6: Final answer
   x = 47,689.16