Finding the Third Proportional to 7,538 and 10,854

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538 : 10,854 = 10,854 : x
2. Step 2: Convert to fraction form
   7,538/10,854 = 10,854/x
3. Step 3: Cross multiply
   7,538x = 10,854 × 10,854
4. Step 4: Simplify right side
   7,538x = 117,809,316
5. Step 5: Solve for x
   x = 117,809,316/7,538
6. Step 6: Final answer
   x = 15,628.72