Finding the Third Proportional to 19,644 and 43,384

Step by Step Solution

1. Step 1: Write the proportion equation
   19,644 : 43,384 = 43,384 : x
2. Step 2: Convert to fraction form
   19,644/43,384 = 43,384/x
3. Step 3: Cross multiply
   19,644x = 43,384 × 43,384
4. Step 4: Simplify right side
   19,644x = 1,882,171,456
5. Step 5: Solve for x
   x = 1,882,171,456/19,644
6. Step 6: Final answer
   x = 95,814.06