Finding the Third Proportional to 9,814 and 17,348

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814 : 17,348 = 17,348 : x
2. Step 2: Convert to fraction form
   9,814/17,348 = 17,348/x
3. Step 3: Cross multiply
   9,814x = 17,348 × 17,348
4. Step 4: Simplify right side
   9,814x = 300,953,104
5. Step 5: Solve for x
   x = 300,953,104/9,814
6. Step 6: Final answer
   x = 30,665.69