Finding the Third Proportional to 5,405.06 and 8,107.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,405.06 : 8,107.59 = 8,107.59 : x
2. Step 2: Convert to fraction form
   5,405.06/8,107.59 = 8,107.59/x
3. Step 3: Cross multiply
   5,405.06x = 8,107.59 × 8,107.59
4. Step 4: Simplify right side
   5,405.06x = 65,733,076.42
5. Step 5: Solve for x
   x = 65,733,076.42/5,405.06
6. Step 6: Final answer
   x = 12,161.39