Finding the Third Proportional to 21,146 and 45,636

Step by Step Solution

1. Step 1: Write the proportion equation
   21,146 : 45,636 = 45,636 : x
2. Step 2: Convert to fraction form
   21,146/45,636 = 45,636/x
3. Step 3: Cross multiply
   21,146x = 45,636 × 45,636
4. Step 4: Simplify right side
   21,146x = 2,082,644,496
5. Step 5: Solve for x
   x = 2,082,644,496/21,146
6. Step 6: Final answer
   x = 98,488.82