Finding the Third Proportional to 3,785.06 and 7,723.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,785.06 : 7,723.59 = 7,723.59 : x
2. Step 2: Convert to fraction form
   3,785.06/7,723.59 = 7,723.59/x
3. Step 3: Cross multiply
   3,785.06x = 7,723.59 × 7,723.59
4. Step 4: Simplify right side
   3,785.06x = 59,653,900.42
5. Step 5: Solve for x
   x = 59,653,900.42/3,785.06
6. Step 6: Final answer
   x = 15,760.35