Finding the Third Proportional to 19,766 and 30,783

Step by Step Solution

1. Step 1: Write the proportion equation
   19,766 : 30,783 = 30,783 : x
2. Step 2: Convert to fraction form
   19,766/30,783 = 30,783/x
3. Step 3: Cross multiply
   19,766x = 30,783 × 30,783
4. Step 4: Simplify right side
   19,766x = 947,593,089
5. Step 5: Solve for x
   x = 947,593,089/19,766
6. Step 6: Final answer
   x = 47,940.56