Finding the Third Proportional to 5,725.69 and 8,527.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,725.69 : 8,527.78 = 8,527.78 : x
2. Step 2: Convert to fraction form
   5,725.69/8,527.78 = 8,527.78/x
3. Step 3: Cross multiply
   5,725.69x = 8,527.78 × 8,527.78
4. Step 4: Simplify right side
   5,725.69x = 72,723,053.05
5. Step 5: Solve for x
   x = 72,723,053.05/5,725.69
6. Step 6: Final answer
   x = 12,701.19