Finding the Third Proportional to 12,896 and 28,223

Step by Step Solution

1. Step 1: Write the proportion equation
   12,896 : 28,223 = 28,223 : x
2. Step 2: Convert to fraction form
   12,896/28,223 = 28,223/x
3. Step 3: Cross multiply
   12,896x = 28,223 × 28,223
4. Step 4: Simplify right side
   12,896x = 796,537,729
5. Step 5: Solve for x
   x = 796,537,729/12,896
6. Step 6: Final answer
   x = 61,766.26