Finding the Third Proportional to 10,028 and 21,838

Step by Step Solution

1. Step 1: Write the proportion equation
   10,028 : 21,838 = 21,838 : x
2. Step 2: Convert to fraction form
   10,028/21,838 = 21,838/x
3. Step 3: Cross multiply
   10,028x = 21,838 × 21,838
4. Step 4: Simplify right side
   10,028x = 476,898,244
5. Step 5: Solve for x
   x = 476,898,244/10,028
6. Step 6: Final answer
   x = 47,556.67