Finding the Third Proportional to 2,786 and 5,964

Step by Step Solution

1. Step 1: Write the proportion equation
   2,786 : 5,964 = 5,964 : x
2. Step 2: Convert to fraction form
   2,786/5,964 = 5,964/x
3. Step 3: Cross multiply
   2,786x = 5,964 × 5,964
4. Step 4: Simplify right side
   2,786x = 35,569,296
5. Step 5: Solve for x
   x = 35,569,296/2,786
6. Step 6: Final answer
   x = 12,767.16