Finding the Third Proportional to 2,470.78 and 5,319.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.78 : 5,319.35 = 5,319.35 : x
2. Step 2: Convert to fraction form
   2,470.78/5,319.35 = 5,319.35/x
3. Step 3: Cross multiply
   2,470.78x = 5,319.35 × 5,319.35
4. Step 4: Simplify right side
   2,470.78x = 28,295,501.05
5. Step 5: Solve for x
   x = 28,295,501.05/2,470.78
6. Step 6: Final answer
   x = 11,452.05