Finding the Third Proportional to 3,880.13 and 5,491.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,880.13 : 5,491.69 = 5,491.69 : x
2. Step 2: Convert to fraction form
   3,880.13/5,491.69 = 5,491.69/x
3. Step 3: Cross multiply
   3,880.13x = 5,491.69 × 5,491.69
4. Step 4: Simplify right side
   3,880.13x = 30,158,631.60
5. Step 5: Solve for x
   x = 30,158,631.60/3,880.13
6. Step 6: Final answer
   x = 7,772.59