Finding the Third Proportional to 9,836 and 21,314

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836 : 21,314 = 21,314 : x
2. Step 2: Convert to fraction form
   9,836/21,314 = 21,314/x
3. Step 3: Cross multiply
   9,836x = 21,314 × 21,314
4. Step 4: Simplify right side
   9,836x = 454,286,596
5. Step 5: Solve for x
   x = 454,286,596/9,836
6. Step 6: Final answer
   x = 46,186.11