Finding the Third Proportional to 6,813 and 9,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,813 : 9,155.50 = 9,155.50 : x
2. Step 2: Convert to fraction form
   6,813/9,155.50 = 9,155.50/x
3. Step 3: Cross multiply
   6,813x = 9,155.50 × 9,155.50
4. Step 4: Simplify right side
   6,813x = 83,823,180.25
5. Step 5: Solve for x
   x = 83,823,180.25/6,813
6. Step 6: Final answer
   x = 12,303.42