Finding the Third Proportional to 1,128.09 and 1,680.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,128.09 : 1,680.19 = 1,680.19 : x
2. Step 2: Convert to fraction form
   1,128.09/1,680.19 = 1,680.19/x
3. Step 3: Cross multiply
   1,128.09x = 1,680.19 × 1,680.19
4. Step 4: Simplify right side
   1,128.09x = 2,823,030.04
5. Step 5: Solve for x
   x = 2,823,030.04/1,128.09
6. Step 6: Final answer
   x = 2,502.48