Finding the Third Proportional to 21,456 and 46,605

Step by Step Solution

1. Step 1: Write the proportion equation
   21,456 : 46,605 = 46,605 : x
2. Step 2: Convert to fraction form
   21,456/46,605 = 46,605/x
3. Step 3: Cross multiply
   21,456x = 46,605 × 46,605
4. Step 4: Simplify right side
   21,456x = 2,172,026,025
5. Step 5: Solve for x
   x = 2,172,026,025/21,456
6. Step 6: Final answer
   x = 101,231.64