Finding the Third Proportional to 3,181.78 and 5,005.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,181.78 : 5,005.55 = 5,005.55 : x
2. Step 2: Convert to fraction form
   3,181.78/5,005.55 = 5,005.55/x
3. Step 3: Cross multiply
   3,181.78x = 5,005.55 × 5,005.55
4. Step 4: Simplify right side
   3,181.78x = 25,055,499.52
5. Step 5: Solve for x
   x = 25,055,499.52/3,181.78
6. Step 6: Final answer
   x = 7,874.68