Finding the Third Proportional to 2,703.75 and 5,823.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,703.75 : 5,823.38 = 5,823.38 : x
2. Step 2: Convert to fraction form
   2,703.75/5,823.38 = 5,823.38/x
3. Step 3: Cross multiply
   2,703.75x = 5,823.38 × 5,823.38
4. Step 4: Simplify right side
   2,703.75x = 33,911,696.39
5. Step 5: Solve for x
   x = 33,911,696.39/2,703.75
6. Step 6: Final answer
   x = 12,542.47