Finding the Third Proportional to 10,814 and 15,222

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814 : 15,222 = 15,222 : x
2. Step 2: Convert to fraction form
   10,814/15,222 = 15,222/x
3. Step 3: Cross multiply
   10,814x = 15,222 × 15,222
4. Step 4: Simplify right side
   10,814x = 231,709,284
5. Step 5: Solve for x
   x = 231,709,284/10,814
6. Step 6: Final answer
   x = 21,426.79