Finding the Third Proportional to 1,729.69 and 2,595.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,729.69 : 2,595.94 = 2,595.94 : x
2. Step 2: Convert to fraction form
   1,729.69/2,595.94 = 2,595.94/x
3. Step 3: Cross multiply
   1,729.69x = 2,595.94 × 2,595.94
4. Step 4: Simplify right side
   1,729.69x = 6,738,891.50
5. Step 5: Solve for x
   x = 6,738,891.50/1,729.69
6. Step 6: Final answer
   x = 3,896.02