Finding the Third Proportional to 7,692 and 10,884

Step by Step Solution

1. Step 1: Write the proportion equation
   7,692 : 10,884 = 10,884 : x
2. Step 2: Convert to fraction form
   7,692/10,884 = 10,884/x
3. Step 3: Cross multiply
   7,692x = 10,884 × 10,884
4. Step 4: Simplify right side
   7,692x = 118,461,456
5. Step 5: Solve for x
   x = 118,461,456/7,692
6. Step 6: Final answer
   x = 15,400.61