Finding the Third Proportional to 19,822 and 30,678

Step by Step Solution

1. Step 1: Write the proportion equation
   19,822 : 30,678 = 30,678 : x
2. Step 2: Convert to fraction form
   19,822/30,678 = 30,678/x
3. Step 3: Cross multiply
   19,822x = 30,678 × 30,678
4. Step 4: Simplify right side
   19,822x = 941,139,684
5. Step 5: Solve for x
   x = 941,139,684/19,822
6. Step 6: Final answer
   x = 47,479.55