Finding the Third Proportional to 1,004.75 and 1,545.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.75 : 1,545.57 = 1,545.57 : x
2. Step 2: Convert to fraction form
   1,004.75/1,545.57 = 1,545.57/x
3. Step 3: Cross multiply
   1,004.75x = 1,545.57 × 1,545.57
4. Step 4: Simplify right side
   1,004.75x = 2,388,772.50
5. Step 5: Solve for x
   x = 2,388,772.50/1,004.75
6. Step 6: Final answer
   x = 2,377.48