Finding the Third Proportional to 10,289 and 22,108

Step by Step Solution

1. Step 1: Write the proportion equation
   10,289 : 22,108 = 22,108 : x
2. Step 2: Convert to fraction form
   10,289/22,108 = 22,108/x
3. Step 3: Cross multiply
   10,289x = 22,108 × 22,108
4. Step 4: Simplify right side
   10,289x = 488,763,664
5. Step 5: Solve for x
   x = 488,763,664/10,289
6. Step 6: Final answer
   x = 47,503.51