Finding the Third Proportional to 12,864 and 28,196

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864 : 28,196 = 28,196 : x
2. Step 2: Convert to fraction form
   12,864/28,196 = 28,196/x
3. Step 3: Cross multiply
   12,864x = 28,196 × 28,196
4. Step 4: Simplify right side
   12,864x = 795,014,416
5. Step 5: Solve for x
   x = 795,014,416/12,864
6. Step 6: Final answer
   x = 61,801.49