Finding the Third Proportional to 8,520 and 10,854

Step by Step Solution

1. Step 1: Write the proportion equation
   8,520 : 10,854 = 10,854 : x
2. Step 2: Convert to fraction form
   8,520/10,854 = 10,854/x
3. Step 3: Cross multiply
   8,520x = 10,854 × 10,854
4. Step 4: Simplify right side
   8,520x = 117,809,316
5. Step 5: Solve for x
   x = 117,809,316/8,520
6. Step 6: Final answer
   x = 13,827.38