Finding the Third Proportional to 20,218 and 30,678

Step by Step Solution

1. Step 1: Write the proportion equation
   20,218 : 30,678 = 30,678 : x
2. Step 2: Convert to fraction form
   20,218/30,678 = 30,678/x
3. Step 3: Cross multiply
   20,218x = 30,678 × 30,678
4. Step 4: Simplify right side
   20,218x = 941,139,684
5. Step 5: Solve for x
   x = 941,139,684/20,218
6. Step 6: Final answer
   x = 46,549.59