Finding the Third Proportional to 19,462 and 30,822

Step by Step Solution

1. Step 1: Write the proportion equation
   19,462 : 30,822 = 30,822 : x
2. Step 2: Convert to fraction form
   19,462/30,822 = 30,822/x
3. Step 3: Cross multiply
   19,462x = 30,822 × 30,822
4. Step 4: Simplify right side
   19,462x = 949,995,684
5. Step 5: Solve for x
   x = 949,995,684/19,462
6. Step 6: Final answer
   x = 48,812.85