Finding the Third Proportional to 2,784.25 and 5,929.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.25 : 5,929.75 = 5,929.75 : x
2. Step 2: Convert to fraction form
   2,784.25/5,929.75 = 5,929.75/x
3. Step 3: Cross multiply
   2,784.25x = 5,929.75 × 5,929.75
4. Step 4: Simplify right side
   2,784.25x = 35,161,935.06
5. Step 5: Solve for x
   x = 35,161,935.06/2,784.25
6. Step 6: Final answer
   x = 12,628.87