Finding the Third Proportional to 12,851 and 19,223

Step by Step Solution

1. Step 1: Write the proportion equation
   12,851 : 19,223 = 19,223 : x
2. Step 2: Convert to fraction form
   12,851/19,223 = 19,223/x
3. Step 3: Cross multiply
   12,851x = 19,223 × 19,223
4. Step 4: Simplify right side
   12,851x = 369,523,729
5. Step 5: Solve for x
   x = 369,523,729/12,851
6. Step 6: Final answer
   x = 28,754.47