Finding the Third Proportional to 10,026 and 10,854

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026 : 10,854 = 10,854 : x
2. Step 2: Convert to fraction form
   10,026/10,854 = 10,854/x
3. Step 3: Cross multiply
   10,026x = 10,854 × 10,854
4. Step 4: Simplify right side
   10,026x = 117,809,316
5. Step 5: Solve for x
   x = 117,809,316/10,026
6. Step 6: Final answer
   x = 11,750.38