Finding the Third Proportional to 1,762.69 and 2,789.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,762.69 : 2,789.25 = 2,789.25 : x
2. Step 2: Convert to fraction form
   1,762.69/2,789.25 = 2,789.25/x
3. Step 3: Cross multiply
   1,762.69x = 2,789.25 × 2,789.25
4. Step 4: Simplify right side
   1,762.69x = 7,779,915.56
5. Step 5: Solve for x
   x = 7,779,915.56/1,762.69
6. Step 6: Final answer
   x = 4,413.67