Finding the Third Proportional to 9,778.50 and 13,285.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.50 : 13,285.50 = 13,285.50 : x
2. Step 2: Convert to fraction form
   9,778.50/13,285.50 = 13,285.50/x
3. Step 3: Cross multiply
   9,778.50x = 13,285.50 × 13,285.50
4. Step 4: Simplify right side
   9,778.50x = 176,504,510.25
5. Step 5: Solve for x
   x = 176,504,510.25/9,778.50
6. Step 6: Final answer
   x = 18,050.26