Finding the Third Proportional to 6,823 and 10,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,823 : 10,483.50 = 10,483.50 : x
2. Step 2: Convert to fraction form
   6,823/10,483.50 = 10,483.50/x
3. Step 3: Cross multiply
   6,823x = 10,483.50 × 10,483.50
4. Step 4: Simplify right side
   6,823x = 109,903,772.25
5. Step 5: Solve for x
   x = 109,903,772.25/6,823
6. Step 6: Final answer
   x = 16,107.84