Finding the Third Proportional to 1,022.63 and 1,545.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.63 : 1,545.33 = 1,545.33 : x
2. Step 2: Convert to fraction form
   1,022.63/1,545.33 = 1,545.33/x
3. Step 3: Cross multiply
   1,022.63x = 1,545.33 × 1,545.33
4. Step 4: Simplify right side
   1,022.63x = 2,388,039.01
5. Step 5: Solve for x
   x = 2,388,039.01/1,022.63
6. Step 6: Final answer
   x = 2,335.21