Finding the Third Proportional to 1,545.94 and 3,645.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,545.94 : 3,645.56 = 3,645.56 : x
2. Step 2: Convert to fraction form
   1,545.94/3,645.56 = 3,645.56/x
3. Step 3: Cross multiply
   1,545.94x = 3,645.56 × 3,645.56
4. Step 4: Simplify right side
   1,545.94x = 13,290,125.94
5. Step 5: Solve for x
   x = 13,290,125.94/1,545.94
6. Step 6: Final answer
   x = 8,596.81