Finding the Third Proportional to 5,704.88 and 8,829.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,704.88 : 8,829.56 = 8,829.56 : x
2. Step 2: Convert to fraction form
   5,704.88/8,829.56 = 8,829.56/x
3. Step 3: Cross multiply
   5,704.88x = 8,829.56 × 8,829.56
4. Step 4: Simplify right side
   5,704.88x = 77,961,173.94
5. Step 5: Solve for x
   x = 77,961,173.94/5,704.88
6. Step 6: Final answer
   x = 13,665.71