Finding the Third Proportional to 10,203 and 21,633

Step by Step Solution

1. Step 1: Write the proportion equation
   10,203 : 21,633 = 21,633 : x
2. Step 2: Convert to fraction form
   10,203/21,633 = 21,633/x
3. Step 3: Cross multiply
   10,203x = 21,633 × 21,633
4. Step 4: Simplify right side
   10,203x = 467,986,689
5. Step 5: Solve for x
   x = 467,986,689/10,203
6. Step 6: Final answer
   x = 45,867.56