Finding the Third Proportional to 12,960 and 28,296

Step by Step Solution

1. Step 1: Write the proportion equation
   12,960 : 28,296 = 28,296 : x
2. Step 2: Convert to fraction form
   12,960/28,296 = 28,296/x
3. Step 3: Cross multiply
   12,960x = 28,296 × 28,296
4. Step 4: Simplify right side
   12,960x = 800,663,616
5. Step 5: Solve for x
   x = 800,663,616/12,960
6. Step 6: Final answer
   x = 61,779.60