Finding the Third Proportional to 5,181.75 and 8,078.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,181.75 : 8,078.63 = 8,078.63 : x
2. Step 2: Convert to fraction form
   5,181.75/8,078.63 = 8,078.63/x
3. Step 3: Cross multiply
   5,181.75x = 8,078.63 × 8,078.63
4. Step 4: Simplify right side
   5,181.75x = 65,264,181.89
5. Step 5: Solve for x
   x = 65,264,181.89/5,181.75
6. Step 6: Final answer
   x = 12,595.01