Finding the Third Proportional to 10,069 and 21,814

Step by Step Solution

1. Step 1: Write the proportion equation
   10,069 : 21,814 = 21,814 : x
2. Step 2: Convert to fraction form
   10,069/21,814 = 21,814/x
3. Step 3: Cross multiply
   10,069x = 21,814 × 21,814
4. Step 4: Simplify right side
   10,069x = 475,850,596
5. Step 5: Solve for x
   x = 475,850,596/10,069
6. Step 6: Final answer
   x = 47,258.97