Finding the Third Proportional to 9,855 and 12,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,855 : 12,793.50 = 12,793.50 : x
2. Step 2: Convert to fraction form
   9,855/12,793.50 = 12,793.50/x
3. Step 3: Cross multiply
   9,855x = 12,793.50 × 12,793.50
4. Step 4: Simplify right side
   9,855x = 163,673,642.25
5. Step 5: Solve for x
   x = 163,673,642.25/9,855
6. Step 6: Final answer
   x = 16,608.18