Finding the Third Proportional to 10,830 and 23,622

Step by Step Solution

1. Step 1: Write the proportion equation
   10,830 : 23,622 = 23,622 : x
2. Step 2: Convert to fraction form
   10,830/23,622 = 23,622/x
3. Step 3: Cross multiply
   10,830x = 23,622 × 23,622
4. Step 4: Simplify right side
   10,830x = 557,998,884
5. Step 5: Solve for x
   x = 557,998,884/10,830
6. Step 6: Final answer
   x = 51,523.44