Finding the Third Proportional to 20,824 and 30,684

Step by Step Solution

1. Step 1: Write the proportion equation
   20,824 : 30,684 = 30,684 : x
2. Step 2: Convert to fraction form
   20,824/30,684 = 30,684/x
3. Step 3: Cross multiply
   20,824x = 30,684 × 30,684
4. Step 4: Simplify right side
   20,824x = 941,507,856
5. Step 5: Solve for x
   x = 941,507,856/20,824
6. Step 6: Final answer
   x = 45,212.63