Finding the Third Proportional to 5,153 and 11,105

Step by Step Solution

1. Step 1: Write the proportion equation
   5,153 : 11,105 = 11,105 : x
2. Step 2: Convert to fraction form
   5,153/11,105 = 11,105/x
3. Step 3: Cross multiply
   5,153x = 11,105 × 11,105
4. Step 4: Simplify right side
   5,153x = 123,321,025
5. Step 5: Solve for x
   x = 123,321,025/5,153
6. Step 6: Final answer
   x = 23,931.89