Finding the Third Proportional to 2,833.75 and 4,683.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,833.75 : 4,683.25 = 4,683.25 : x
2. Step 2: Convert to fraction form
   2,833.75/4,683.25 = 4,683.25/x
3. Step 3: Cross multiply
   2,833.75x = 4,683.25 × 4,683.25
4. Step 4: Simplify right side
   2,833.75x = 21,932,830.56
5. Step 5: Solve for x
   x = 21,932,830.56/2,833.75
6. Step 6: Final answer
   x = 7,739.86