Finding the Third Proportional to 19,384 and 30,744

Step by Step Solution

1. Step 1: Write the proportion equation
   19,384 : 30,744 = 30,744 : x
2. Step 2: Convert to fraction form
   19,384/30,744 = 30,744/x
3. Step 3: Cross multiply
   19,384x = 30,744 × 30,744
4. Step 4: Simplify right side
   19,384x = 945,193,536
5. Step 5: Solve for x
   x = 945,193,536/19,384
6. Step 6: Final answer
   x = 48,761.53