Finding the Third Proportional to 9,096 and 10,716

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 10,716 = 10,716 : x
2. Step 2: Convert to fraction form
   9,096/10,716 = 10,716/x
3. Step 3: Cross multiply
   9,096x = 10,716 × 10,716
4. Step 4: Simplify right side
   9,096x = 114,832,656
5. Step 5: Solve for x
   x = 114,832,656/9,096
6. Step 6: Final answer
   x = 12,624.52