Finding the Third Proportional to 3,648 and 7,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648 : 7,843.50 = 7,843.50 : x
2. Step 2: Convert to fraction form
   3,648/7,843.50 = 7,843.50/x
3. Step 3: Cross multiply
   3,648x = 7,843.50 × 7,843.50
4. Step 4: Simplify right side
   3,648x = 61,520,492.25
5. Step 5: Solve for x
   x = 61,520,492.25/3,648
6. Step 6: Final answer
   x = 16,864.17