Finding the Third Proportional to 3,892 and 8,444.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892 : 8,444.50 = 8,444.50 : x
2. Step 2: Convert to fraction form
   3,892/8,444.50 = 8,444.50/x
3. Step 3: Cross multiply
   3,892x = 8,444.50 × 8,444.50
4. Step 4: Simplify right side
   3,892x = 71,309,580.25
5. Step 5: Solve for x
   x = 71,309,580.25/3,892
6. Step 6: Final answer
   x = 18,322.09