Finding the Third Proportional to 6,823 and 10,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,823 : 10,945.50 = 10,945.50 : x
2. Step 2: Convert to fraction form
   6,823/10,945.50 = 10,945.50/x
3. Step 3: Cross multiply
   6,823x = 10,945.50 × 10,945.50
4. Step 4: Simplify right side
   6,823x = 119,803,970.25
5. Step 5: Solve for x
   x = 119,803,970.25/6,823
6. Step 6: Final answer
   x = 17,558.84