Finding the Third Proportional to 19,648 and 30,464

Step by Step Solution

1. Step 1: Write the proportion equation
   19,648 : 30,464 = 30,464 : x
2. Step 2: Convert to fraction form
   19,648/30,464 = 30,464/x
3. Step 3: Cross multiply
   19,648x = 30,464 × 30,464
4. Step 4: Simplify right side
   19,648x = 928,055,296
5. Step 5: Solve for x
   x = 928,055,296/19,648
6. Step 6: Final answer
   x = 47,234.08