Finding the Third Proportional to 5,083.88 and 7,723.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,083.88 : 7,723.69 = 7,723.69 : x
2. Step 2: Convert to fraction form
   5,083.88/7,723.69 = 7,723.69/x
3. Step 3: Cross multiply
   5,083.88x = 7,723.69 × 7,723.69
4. Step 4: Simplify right side
   5,083.88x = 59,655,348.60
5. Step 5: Solve for x
   x = 59,655,348.60/5,083.88
6. Step 6: Final answer
   x = 11,734.23