Finding the Third Proportional to 10,494 and 19,308

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494 : 19,308 = 19,308 : x
2. Step 2: Convert to fraction form
   10,494/19,308 = 19,308/x
3. Step 3: Cross multiply
   10,494x = 19,308 × 19,308
4. Step 4: Simplify right side
   10,494x = 372,798,864
5. Step 5: Solve for x
   x = 372,798,864/10,494
6. Step 6: Final answer
   x = 35,524.95