Finding the Third Proportional to 4,814 and 10,007

Step by Step Solution

1. Step 1: Write the proportion equation
   4,814 : 10,007 = 10,007 : x
2. Step 2: Convert to fraction form
   4,814/10,007 = 10,007/x
3. Step 3: Cross multiply
   4,814x = 10,007 × 10,007
4. Step 4: Simplify right side
   4,814x = 100,140,049
5. Step 5: Solve for x
   x = 100,140,049/4,814
6. Step 6: Final answer
   x = 20,801.84