Finding the Third Proportional to 1,128.75 and 1,683.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,128.75 : 1,683.42 = 1,683.42 : x
2. Step 2: Convert to fraction form
   1,128.75/1,683.42 = 1,683.42/x
3. Step 3: Cross multiply
   1,128.75x = 1,683.42 × 1,683.42
4. Step 4: Simplify right side
   1,128.75x = 2,833,909.21
5. Step 5: Solve for x
   x = 2,833,909.21/1,128.75
6. Step 6: Final answer
   x = 2,510.66