Finding the Third Proportional to 5,946 and 12,864

Step by Step Solution

1. Step 1: Write the proportion equation
   5,946 : 12,864 = 12,864 : x
2. Step 2: Convert to fraction form
   5,946/12,864 = 12,864/x
3. Step 3: Cross multiply
   5,946x = 12,864 × 12,864
4. Step 4: Simplify right side
   5,946x = 165,482,496
5. Step 5: Solve for x
   x = 165,482,496/5,946
6. Step 6: Final answer
   x = 27,830.89