Finding the Third Proportional to 10,644 and 19,740

Step by Step Solution

1. Step 1: Write the proportion equation
   10,644 : 19,740 = 19,740 : x
2. Step 2: Convert to fraction form
   10,644/19,740 = 19,740/x
3. Step 3: Cross multiply
   10,644x = 19,740 × 19,740
4. Step 4: Simplify right side
   10,644x = 389,667,600
5. Step 5: Solve for x
   x = 389,667,600/10,644
6. Step 6: Final answer
   x = 36,609.13