Finding the Third Proportional to 4,838 and 10,468

Step by Step Solution

1. Step 1: Write the proportion equation
   4,838 : 10,468 = 10,468 : x
2. Step 2: Convert to fraction form
   4,838/10,468 = 10,468/x
3. Step 3: Cross multiply
   4,838x = 10,468 × 10,468
4. Step 4: Simplify right side
   4,838x = 109,579,024
5. Step 5: Solve for x
   x = 109,579,024/4,838
6. Step 6: Final answer
   x = 22,649.65