Finding the Third Proportional to 684.50 and 1,019

Step by Step Solution

1. Step 1: Write the proportion equation
   684.50 : 1,019 = 1,019 : x
2. Step 2: Convert to fraction form
   684.50/1,019 = 1,019/x
3. Step 3: Cross multiply
   684.50x = 1,019 × 1,019
4. Step 4: Simplify right side
   684.50x = 1,038,361
5. Step 5: Solve for x
   x = 1,038,361/684.50
6. Step 6: Final answer
   x = 1,516.96