Finding the Third Proportional to 5,065 and 8,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,065 : 8,013.50 = 8,013.50 : x
2. Step 2: Convert to fraction form
   5,065/8,013.50 = 8,013.50/x
3. Step 3: Cross multiply
   5,065x = 8,013.50 × 8,013.50
4. Step 4: Simplify right side
   5,065x = 64,216,182.25
5. Step 5: Solve for x
   x = 64,216,182.25/5,065
6. Step 6: Final answer
   x = 12,678.42