Finding the Third Proportional to 9,636 and 19,308

Step by Step Solution

1. Step 1: Write the proportion equation
   9,636 : 19,308 = 19,308 : x
2. Step 2: Convert to fraction form
   9,636/19,308 = 19,308/x
3. Step 3: Cross multiply
   9,636x = 19,308 × 19,308
4. Step 4: Simplify right side
   9,636x = 372,798,864
5. Step 5: Solve for x
   x = 372,798,864/9,636
6. Step 6: Final answer
   x = 38,688.13