Finding the Third Proportional to 1,952.78 and 3,144.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,952.78 : 3,144.64 = 3,144.64 : x
2. Step 2: Convert to fraction form
   1,952.78/3,144.64 = 3,144.64/x
3. Step 3: Cross multiply
   1,952.78x = 3,144.64 × 3,144.64
4. Step 4: Simplify right side
   1,952.78x = 9,888,780.02
5. Step 5: Solve for x
   x = 9,888,780.02/1,952.78
6. Step 6: Final answer
   x = 5,063.95