Finding the Third Proportional to 4,112 and 6,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,112 : 6,443.50 = 6,443.50 : x
2. Step 2: Convert to fraction form
   4,112/6,443.50 = 6,443.50/x
3. Step 3: Cross multiply
   4,112x = 6,443.50 × 6,443.50
4. Step 4: Simplify right side
   4,112x = 41,518,692.25
5. Step 5: Solve for x
   x = 41,518,692.25/4,112
6. Step 6: Final answer
   x = 10,096.96