Finding the Third Proportional to 10,404 and 19,770

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404 : 19,770 = 19,770 : x
2. Step 2: Convert to fraction form
   10,404/19,770 = 19,770/x
3. Step 3: Cross multiply
   10,404x = 19,770 × 19,770
4. Step 4: Simplify right side
   10,404x = 390,852,900
5. Step 5: Solve for x
   x = 390,852,900/10,404
6. Step 6: Final answer
   x = 37,567.56