Finding the Third Proportional to 2,753.50 and 5,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,753.50 : 5,778.50 = 5,778.50 : x
2. Step 2: Convert to fraction form
   2,753.50/5,778.50 = 5,778.50/x
3. Step 3: Cross multiply
   2,753.50x = 5,778.50 × 5,778.50
4. Step 4: Simplify right side
   2,753.50x = 33,391,062.25
5. Step 5: Solve for x
   x = 33,391,062.25/2,753.50
6. Step 6: Final answer
   x = 12,126.77