Finding the Third Proportional to 745.69 and 1,610.06

Step by Step Solution

1. Step 1: Write the proportion equation
   745.69 : 1,610.06 = 1,610.06 : x
2. Step 2: Convert to fraction form
   745.69/1,610.06 = 1,610.06/x
3. Step 3: Cross multiply
   745.69x = 1,610.06 × 1,610.06
4. Step 4: Simplify right side
   745.69x = 2,592,301.25
5. Step 5: Solve for x
   x = 2,592,301.25/745.69
6. Step 6: Final answer
   x = 3,476.39