Finding the Third Proportional to 1,605.66 and 3,096.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.66 : 3,096.56 = 3,096.56 : x
2. Step 2: Convert to fraction form
   1,605.66/3,096.56 = 3,096.56/x
3. Step 3: Cross multiply
   1,605.66x = 3,096.56 × 3,096.56
4. Step 4: Simplify right side
   1,605.66x = 9,588,699.32
5. Step 5: Solve for x
   x = 9,588,699.32/1,605.66
6. Step 6: Final answer
   x = 5,971.83