Finding the Third Proportional to 2,588.63 and 3,997.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.63 : 3,997.69 = 3,997.69 : x
2. Step 2: Convert to fraction form
   2,588.63/3,997.69 = 3,997.69/x
3. Step 3: Cross multiply
   2,588.63x = 3,997.69 × 3,997.69
4. Step 4: Simplify right side
   2,588.63x = 15,981,505.35
5. Step 5: Solve for x
   x = 15,981,505.35/2,588.63
6. Step 6: Final answer
   x = 6,173.74