Finding the Third Proportional to 2,768.16 and 5,997.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.16 : 5,997.64 = 5,997.64 : x
2. Step 2: Convert to fraction form
   2,768.16/5,997.64 = 5,997.64/x
3. Step 3: Cross multiply
   2,768.16x = 5,997.64 × 5,997.64
4. Step 4: Simplify right side
   2,768.16x = 35,971,669.64
5. Step 5: Solve for x
   x = 35,971,669.64/2,768.16
6. Step 6: Final answer
   x = 12,994.80