Finding the Third Proportional to 10,838 and 23,404

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838 : 23,404 = 23,404 : x
2. Step 2: Convert to fraction form
   10,838/23,404 = 23,404/x
3. Step 3: Cross multiply
   10,838x = 23,404 × 23,404
4. Step 4: Simplify right side
   10,838x = 547,747,216
5. Step 5: Solve for x
   x = 547,747,216/10,838
6. Step 6: Final answer
   x = 50,539.51