Finding the Third Proportional to 3,668.63 and 5,320.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,668.63 : 5,320.69 = 5,320.69 : x
2. Step 2: Convert to fraction form
   3,668.63/5,320.69 = 5,320.69/x
3. Step 3: Cross multiply
   3,668.63x = 5,320.69 × 5,320.69
4. Step 4: Simplify right side
   3,668.63x = 28,309,715.47
5. Step 5: Solve for x
   x = 28,309,715.47/3,668.63
6. Step 6: Final answer
   x = 7,716.71