Finding the Third Proportional to 19,824 and 30,462

Step by Step Solution

1. Step 1: Write the proportion equation
   19,824 : 30,462 = 30,462 : x
2. Step 2: Convert to fraction form
   19,824/30,462 = 30,462/x
3. Step 3: Cross multiply
   19,824x = 30,462 × 30,462
4. Step 4: Simplify right side
   19,824x = 927,933,444
5. Step 5: Solve for x
   x = 927,933,444/19,824
6. Step 6: Final answer
   x = 46,808.59