Finding the Third Proportional to 6,822 and 10,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,822 : 10,435.50 = 10,435.50 : x
2. Step 2: Convert to fraction form
   6,822/10,435.50 = 10,435.50/x
3. Step 3: Cross multiply
   6,822x = 10,435.50 × 10,435.50
4. Step 4: Simplify right side
   6,822x = 108,899,660.25
5. Step 5: Solve for x
   x = 108,899,660.25/6,822
6. Step 6: Final answer
   x = 15,963.01