Finding the Third Proportional to 830.81 and 1,683.56

Step by Step Solution

1. Step 1: Write the proportion equation
   830.81 : 1,683.56 = 1,683.56 : x
2. Step 2: Convert to fraction form
   830.81/1,683.56 = 1,683.56/x
3. Step 3: Cross multiply
   830.81x = 1,683.56 × 1,683.56
4. Step 4: Simplify right side
   830.81x = 2,834,382.69
5. Step 5: Solve for x
   x = 2,834,382.69/830.81
6. Step 6: Final answer
   x = 3,411.58