Finding the Third Proportional to 3,852.56 and 8,077.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,852.56 : 8,077.22 = 8,077.22 : x
2. Step 2: Convert to fraction form
   3,852.56/8,077.22 = 8,077.22/x
3. Step 3: Cross multiply
   3,852.56x = 8,077.22 × 8,077.22
4. Step 4: Simplify right side
   3,852.56x = 65,241,462.74
5. Step 5: Solve for x
   x = 65,241,462.74/3,852.56
6. Step 6: Final answer
   x = 16,934.56