Finding the Third Proportional to 8,077 and 10,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,077 : 10,853.50 = 10,853.50 : x
2. Step 2: Convert to fraction form
   8,077/10,853.50 = 10,853.50/x
3. Step 3: Cross multiply
   8,077x = 10,853.50 × 10,853.50
4. Step 4: Simplify right side
   8,077x = 117,798,462.25
5. Step 5: Solve for x
   x = 117,798,462.25/8,077
6. Step 6: Final answer
   x = 14,584.43