Finding the Third Proportional to 21,158 and 46,204

Step by Step Solution

1. Step 1: Write the proportion equation
   21,158 : 46,204 = 46,204 : x
2. Step 2: Convert to fraction form
   21,158/46,204 = 46,204/x
3. Step 3: Cross multiply
   21,158x = 46,204 × 46,204
4. Step 4: Simplify right side
   21,158x = 2,134,809,616
5. Step 5: Solve for x
   x = 2,134,809,616/21,158
6. Step 6: Final answer
   x = 100,898.46