Finding the Third Proportional to 10,096 and 16,536

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 16,536 = 16,536 : x
2. Step 2: Convert to fraction form
   10,096/16,536 = 16,536/x
3. Step 3: Cross multiply
   10,096x = 16,536 × 16,536
4. Step 4: Simplify right side
   10,096x = 273,439,296
5. Step 5: Solve for x
   x = 273,439,296/10,096
6. Step 6: Final answer
   x = 27,083.92