Finding the Third Proportional to 12,960 and 28,224

Step by Step Solution

1. Step 1: Write the proportion equation
   12,960 : 28,224 = 28,224 : x
2. Step 2: Convert to fraction form
   12,960/28,224 = 28,224/x
3. Step 3: Cross multiply
   12,960x = 28,224 × 28,224
4. Step 4: Simplify right side
   12,960x = 796,594,176
5. Step 5: Solve for x
   x = 796,594,176/12,960
6. Step 6: Final answer
   x = 61,465.60