Finding the Third Proportional to 2,828.25 and 5,946.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,828.25 : 5,946.75 = 5,946.75 : x
2. Step 2: Convert to fraction form
   2,828.25/5,946.75 = 5,946.75/x
3. Step 3: Cross multiply
   2,828.25x = 5,946.75 × 5,946.75
4. Step 4: Simplify right side
   2,828.25x = 35,363,835.56
5. Step 5: Solve for x
   x = 35,363,835.56/2,828.25
6. Step 6: Final answer
   x = 12,503.79