Finding the Third Proportional to 2,742.29 and 5,997.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.29 : 5,997.16 = 5,997.16 : x
2. Step 2: Convert to fraction form
   2,742.29/5,997.16 = 5,997.16/x
3. Step 3: Cross multiply
   2,742.29x = 5,997.16 × 5,997.16
4. Step 4: Simplify right side
   2,742.29x = 35,965,976.79
5. Step 5: Solve for x
   x = 35,965,976.79/2,742.29
6. Step 6: Final answer
   x = 13,115.29