Finding the Third Proportional to 4,838 and 10,322

Step by Step Solution

1. Step 1: Write the proportion equation
   4,838 : 10,322 = 10,322 : x
2. Step 2: Convert to fraction form
   4,838/10,322 = 10,322/x
3. Step 3: Cross multiply
   4,838x = 10,322 × 10,322
4. Step 4: Simplify right side
   4,838x = 106,543,684
5. Step 5: Solve for x
   x = 106,543,684/4,838
6. Step 6: Final answer
   x = 22,022.26