Finding the Third Proportional to 3,153.94 and 7,723.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,153.94 : 7,723.69 = 7,723.69 : x
2. Step 2: Convert to fraction form
   3,153.94/7,723.69 = 7,723.69/x
3. Step 3: Cross multiply
   3,153.94x = 7,723.69 × 7,723.69
4. Step 4: Simplify right side
   3,153.94x = 59,655,348.60
5. Step 5: Solve for x
   x = 59,655,348.60/3,153.94
6. Step 6: Final answer
   x = 18,914.56