Finding the Third Proportional to 21,328 and 46,538

Step by Step Solution

1. Step 1: Write the proportion equation
   21,328 : 46,538 = 46,538 : x
2. Step 2: Convert to fraction form
   21,328/46,538 = 46,538/x
3. Step 3: Cross multiply
   21,328x = 46,538 × 46,538
4. Step 4: Simplify right side
   21,328x = 2,165,785,444
5. Step 5: Solve for x
   x = 2,165,785,444/21,328
6. Step 6: Final answer
   x = 101,546.58