Finding the Third Proportional to 4,746 and 10,204

Step by Step Solution

1. Step 1: Write the proportion equation
   4,746 : 10,204 = 10,204 : x
2. Step 2: Convert to fraction form
   4,746/10,204 = 10,204/x
3. Step 3: Cross multiply
   4,746x = 10,204 × 10,204
4. Step 4: Simplify right side
   4,746x = 104,121,616
5. Step 5: Solve for x
   x = 104,121,616/4,746
6. Step 6: Final answer
   x = 21,938.82