Finding the Third Proportional to 3,362.75 and 7,814.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,362.75 : 7,814.38 = 7,814.38 : x
2. Step 2: Convert to fraction form
   3,362.75/7,814.38 = 7,814.38/x
3. Step 3: Cross multiply
   3,362.75x = 7,814.38 × 7,814.38
4. Step 4: Simplify right side
   3,362.75x = 61,064,456.64
5. Step 5: Solve for x
   x = 61,064,456.64/3,362.75
6. Step 6: Final answer
   x = 18,159.08