Finding the Third Proportional to 10,229 and 21,685

Step by Step Solution

1. Step 1: Write the proportion equation
   10,229 : 21,685 = 21,685 : x
2. Step 2: Convert to fraction form
   10,229/21,685 = 21,685/x
3. Step 3: Cross multiply
   10,229x = 21,685 × 21,685
4. Step 4: Simplify right side
   10,229x = 470,239,225
5. Step 5: Solve for x
   x = 470,239,225/10,229
6. Step 6: Final answer
   x = 45,971.18