Finding the Third Proportional to 2,287.78 and 4,978.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,287.78 : 4,978.03 = 4,978.03 : x
2. Step 2: Convert to fraction form
   2,287.78/4,978.03 = 4,978.03/x
3. Step 3: Cross multiply
   2,287.78x = 4,978.03 × 4,978.03
4. Step 4: Simplify right side
   2,287.78x = 24,780,795.13
5. Step 5: Solve for x
   x = 24,780,795.13/2,287.78
6. Step 6: Final answer
   x = 10,831.80