Finding the Third Proportional to 1,181.67 and 1,683.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.67 : 1,683.07 = 1,683.07 : x
2. Step 2: Convert to fraction form
   1,181.67/1,683.07 = 1,683.07/x
3. Step 3: Cross multiply
   1,181.67x = 1,683.07 × 1,683.07
4. Step 4: Simplify right side
   1,181.67x = 2,832,725.68
5. Step 5: Solve for x
   x = 2,832,725.68/1,181.67
6. Step 6: Final answer
   x = 2,397.22