Finding the Third Proportional to 1,638.81 and 2,596.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.81 : 2,596.27 = 2,596.27 : x
2. Step 2: Convert to fraction form
   1,638.81/2,596.27 = 2,596.27/x
3. Step 3: Cross multiply
   1,638.81x = 2,596.27 × 2,596.27
4. Step 4: Simplify right side
   1,638.81x = 6,740,625.62
5. Step 5: Solve for x
   x = 6,740,625.62/1,638.81
6. Step 6: Final answer
   x = 4,113.13