Finding the Third Proportional to 10,636 and 19,952

Step by Step Solution

1. Step 1: Write the proportion equation
   10,636 : 19,952 = 19,952 : x
2. Step 2: Convert to fraction form
   10,636/19,952 = 19,952/x
3. Step 3: Cross multiply
   10,636x = 19,952 × 19,952
4. Step 4: Simplify right side
   10,636x = 398,082,304
5. Step 5: Solve for x
   x = 398,082,304/10,636
6. Step 6: Final answer
   x = 37,427.82