Finding the Third Proportional to 6,815.63 and 9,665.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,815.63 : 9,665.25 = 9,665.25 : x
2. Step 2: Convert to fraction form
   6,815.63/9,665.25 = 9,665.25/x
3. Step 3: Cross multiply
   6,815.63x = 9,665.25 × 9,665.25
4. Step 4: Simplify right side
   6,815.63x = 93,417,057.56
5. Step 5: Solve for x
   x = 93,417,057.56/6,815.63
6. Step 6: Final answer
   x = 13,706.31