Finding the Third Proportional to 3,986.72 and 5,706.70

Step by Step Solution

1. Step 1: Write the proportion equation
   3,986.72 : 5,706.70 = 5,706.70 : x
2. Step 2: Convert to fraction form
   3,986.72/5,706.70 = 5,706.70/x
3. Step 3: Cross multiply
   3,986.72x = 5,706.70 × 5,706.70
4. Step 4: Simplify right side
   3,986.72x = 32,566,460.56
5. Step 5: Solve for x
   x = 32,566,460.56/3,986.72
6. Step 6: Final answer
   x = 8,168.74