Finding the Third Proportional to 3,840 and 7,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,840 : 7,843.50 = 7,843.50 : x
2. Step 2: Convert to fraction form
   3,840/7,843.50 = 7,843.50/x
3. Step 3: Cross multiply
   3,840x = 7,843.50 × 7,843.50
4. Step 4: Simplify right side
   3,840x = 61,520,492.25
5. Step 5: Solve for x
   x = 61,520,492.25/3,840
6. Step 6: Final answer
   x = 16,020.96