Finding the Third Proportional to 2,784.75 and 5,823.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.75 : 5,823.75 = 5,823.75 : x
2. Step 2: Convert to fraction form
   2,784.75/5,823.75 = 5,823.75/x
3. Step 3: Cross multiply
   2,784.75x = 5,823.75 × 5,823.75
4. Step 4: Simplify right side
   2,784.75x = 33,916,064.06
5. Step 5: Solve for x
   x = 33,916,064.06/2,784.75
6. Step 6: Final answer
   x = 12,179.21