Finding the Third Proportional to 12,864 and 28,189

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864 : 28,189 = 28,189 : x
2. Step 2: Convert to fraction form
   12,864/28,189 = 28,189/x
3. Step 3: Cross multiply
   12,864x = 28,189 × 28,189
4. Step 4: Simplify right side
   12,864x = 794,619,721
5. Step 5: Solve for x
   x = 794,619,721/12,864
6. Step 6: Final answer
   x = 61,770.81