Finding the Third Proportional to 9,838 and 21,426

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838 : 21,426 = 21,426 : x
2. Step 2: Convert to fraction form
   9,838/21,426 = 21,426/x
3. Step 3: Cross multiply
   9,838x = 21,426 × 21,426
4. Step 4: Simplify right side
   9,838x = 459,073,476
5. Step 5: Solve for x
   x = 459,073,476/9,838
6. Step 6: Final answer
   x = 46,663.29