Finding the Third Proportional to 21,380 and 46,048

Step by Step Solution

1. Step 1: Write the proportion equation
   21,380 : 46,048 = 46,048 : x
2. Step 2: Convert to fraction form
   21,380/46,048 = 46,048/x
3. Step 3: Cross multiply
   21,380x = 46,048 × 46,048
4. Step 4: Simplify right side
   21,380x = 2,120,418,304
5. Step 5: Solve for x
   x = 2,120,418,304/21,380
6. Step 6: Final answer
   x = 99,177.66