Finding the Third Proportional to 4,814 and 10,210

Step by Step Solution

1. Step 1: Write the proportion equation
   4,814 : 10,210 = 10,210 : x
2. Step 2: Convert to fraction form
   4,814/10,210 = 10,210/x
3. Step 3: Cross multiply
   4,814x = 10,210 × 10,210
4. Step 4: Simplify right side
   4,814x = 104,244,100
5. Step 5: Solve for x
   x = 104,244,100/4,814
6. Step 6: Final answer
   x = 21,654.36