Finding the Third Proportional to 6,608.81 and 9,665.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,608.81 : 9,665.16 = 9,665.16 : x
2. Step 2: Convert to fraction form
   6,608.81/9,665.16 = 9,665.16/x
3. Step 3: Cross multiply
   6,608.81x = 9,665.16 × 9,665.16
4. Step 4: Simplify right side
   6,608.81x = 93,415,245.34
5. Step 5: Solve for x
   x = 93,415,245.34/6,608.81
6. Step 6: Final answer
   x = 14,134.95