Finding the Third Proportional to 12,960 and 20,374

Step by Step Solution

1. Step 1: Write the proportion equation
   12,960 : 20,374 = 20,374 : x
2. Step 2: Convert to fraction form
   12,960/20,374 = 20,374/x
3. Step 3: Cross multiply
   12,960x = 20,374 × 20,374
4. Step 4: Simplify right side
   12,960x = 415,099,876
5. Step 5: Solve for x
   x = 415,099,876/12,960
6. Step 6: Final answer
   x = 32,029.31