Finding the Third Proportional to 1,064.25 and 1,645.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.25 : 1,645.88 = 1,645.88 : x
2. Step 2: Convert to fraction form
   1,064.25/1,645.88 = 1,645.88/x
3. Step 3: Cross multiply
   1,064.25x = 1,645.88 × 1,645.88
4. Step 4: Simplify right side
   1,064.25x = 2,708,904.52
5. Step 5: Solve for x
   x = 2,708,904.52/1,064.25
6. Step 6: Final answer
   x = 2,545.36