Finding the Third Proportional to 3,815.86 and 5,560.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,815.86 : 5,560.52 = 5,560.52 : x
2. Step 2: Convert to fraction form
   3,815.86/5,560.52 = 5,560.52/x
3. Step 3: Cross multiply
   3,815.86x = 5,560.52 × 5,560.52
4. Step 4: Simplify right side
   3,815.86x = 30,919,420.90
5. Step 5: Solve for x
   x = 30,919,420.90/3,815.86
6. Step 6: Final answer
   x = 8,102.87