Finding the Third Proportional to 8,382 and 13,314

Step by Step Solution

1. Step 1: Write the proportion equation
   8,382 : 13,314 = 13,314 : x
2. Step 2: Convert to fraction form
   8,382/13,314 = 13,314/x
3. Step 3: Cross multiply
   8,382x = 13,314 × 13,314
4. Step 4: Simplify right side
   8,382x = 177,262,596
5. Step 5: Solve for x
   x = 177,262,596/8,382
6. Step 6: Final answer
   x = 21,148.01