Finding the Third Proportional to 10,204 and 21,500

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204 : 21,500 = 21,500 : x
2. Step 2: Convert to fraction form
   10,204/21,500 = 21,500/x
3. Step 3: Cross multiply
   10,204x = 21,500 × 21,500
4. Step 4: Simplify right side
   10,204x = 462,250,000
5. Step 5: Solve for x
   x = 462,250,000/10,204
6. Step 6: Final answer
   x = 45,300.86