Finding the Third Proportional to 5,152 and 11,108

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152 : 11,108 = 11,108 : x
2. Step 2: Convert to fraction form
   5,152/11,108 = 11,108/x
3. Step 3: Cross multiply
   5,152x = 11,108 × 11,108
4. Step 4: Simplify right side
   5,152x = 123,387,664
5. Step 5: Solve for x
   x = 123,387,664/5,152
6. Step 6: Final answer
   x = 23,949.47