Finding the Third Proportional to 21,785 and 30,678

Step by Step Solution

1. Step 1: Write the proportion equation
   21,785 : 30,678 = 30,678 : x
2. Step 2: Convert to fraction form
   21,785/30,678 = 30,678/x
3. Step 3: Cross multiply
   21,785x = 30,678 × 30,678
4. Step 4: Simplify right side
   21,785x = 941,139,684
5. Step 5: Solve for x
   x = 941,139,684/21,785
6. Step 6: Final answer
   x = 43,201.27