Finding the Third Proportional to 3,794.06 and 7,738.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,794.06 : 7,738.69 = 7,738.69 : x
2. Step 2: Convert to fraction form
   3,794.06/7,738.69 = 7,738.69/x
3. Step 3: Cross multiply
   3,794.06x = 7,738.69 × 7,738.69
4. Step 4: Simplify right side
   3,794.06x = 59,887,284.22
5. Step 5: Solve for x
   x = 59,887,284.22/3,794.06
6. Step 6: Final answer
   x = 15,784.47