Finding the Third Proportional to 21,046 and 46,049

Step by Step Solution

1. Step 1: Write the proportion equation
   21,046 : 46,049 = 46,049 : x
2. Step 2: Convert to fraction form
   21,046/46,049 = 46,049/x
3. Step 3: Cross multiply
   21,046x = 46,049 × 46,049
4. Step 4: Simplify right side
   21,046x = 2,120,510,401
5. Step 5: Solve for x
   x = 2,120,510,401/21,046
6. Step 6: Final answer
   x = 100,755.98