Finding the Third Proportional to 3,034.13 and 5,688.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,034.13 : 5,688.56 = 5,688.56 : x
2. Step 2: Convert to fraction form
   3,034.13/5,688.56 = 5,688.56/x
3. Step 3: Cross multiply
   3,034.13x = 5,688.56 × 5,688.56
4. Step 4: Simplify right side
   3,034.13x = 32,359,743.32
5. Step 5: Solve for x
   x = 32,359,743.32/3,034.13
6. Step 6: Final answer
   x = 10,665.26