Finding the Third Proportional to 1,020.09 and 1,632.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.09 : 1,632.23 = 1,632.23 : x
2. Step 2: Convert to fraction form
   1,020.09/1,632.23 = 1,632.23/x
3. Step 3: Cross multiply
   1,020.09x = 1,632.23 × 1,632.23
4. Step 4: Simplify right side
   1,020.09x = 2,664,189.05
5. Step 5: Solve for x
   x = 2,664,189.05/1,020.09
6. Step 6: Final answer
   x = 2,611.71