Finding the Third Proportional to 6,815.81 and 10,535.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,815.81 : 10,535.06 = 10,535.06 : x
2. Step 2: Convert to fraction form
   6,815.81/10,535.06 = 10,535.06/x
3. Step 3: Cross multiply
   6,815.81x = 10,535.06 × 10,535.06
4. Step 4: Simplify right side
   6,815.81x = 110,987,541.88
5. Step 5: Solve for x
   x = 110,987,541.88/6,815.81
6. Step 6: Final answer
   x = 16,283.83