Finding the Third Proportional to 6,181.31 and 7,605.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,181.31 : 7,605.56 = 7,605.56 : x
2. Step 2: Convert to fraction form
   6,181.31/7,605.56 = 7,605.56/x
3. Step 3: Cross multiply
   6,181.31x = 7,605.56 × 7,605.56
4. Step 4: Simplify right side
   6,181.31x = 57,844,580.94
5. Step 5: Solve for x
   x = 57,844,580.94/6,181.31
6. Step 6: Final answer
   x = 9,357.98