Finding the Third Proportional to 12,864 and 28,005

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864 : 28,005 = 28,005 : x
2. Step 2: Convert to fraction form
   12,864/28,005 = 28,005/x
3. Step 3: Cross multiply
   12,864x = 28,005 × 28,005
4. Step 4: Simplify right side
   12,864x = 784,280,025
5. Step 5: Solve for x
   x = 784,280,025/12,864
6. Step 6: Final answer
   x = 60,967.04