Finding the Third Proportional to 6,120 and 12,960

Step by Step Solution

1. Step 1: Write the proportion equation
   6,120 : 12,960 = 12,960 : x
2. Step 2: Convert to fraction form
   6,120/12,960 = 12,960/x
3. Step 3: Cross multiply
   6,120x = 12,960 × 12,960
4. Step 4: Simplify right side
   6,120x = 167,961,600
5. Step 5: Solve for x
   x = 167,961,600/6,120
6. Step 6: Final answer
   x = 27,444.71