Finding the Third Proportional to 4,082.63 and 5,491.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,082.63 : 5,491.69 = 5,491.69 : x
2. Step 2: Convert to fraction form
   4,082.63/5,491.69 = 5,491.69/x
3. Step 3: Cross multiply
   4,082.63x = 5,491.69 × 5,491.69
4. Step 4: Simplify right side
   4,082.63x = 30,158,631.60
5. Step 5: Solve for x
   x = 30,158,631.60/4,082.63
6. Step 6: Final answer
   x = 7,387.07