Finding the Third Proportional to 10,906 and 23,122

Step by Step Solution

1. Step 1: Write the proportion equation
   10,906 : 23,122 = 23,122 : x
2. Step 2: Convert to fraction form
   10,906/23,122 = 23,122/x
3. Step 3: Cross multiply
   10,906x = 23,122 × 23,122
4. Step 4: Simplify right side
   10,906x = 534,626,884
5. Step 5: Solve for x
   x = 534,626,884/10,906
6. Step 6: Final answer
   x = 49,021.35