Finding the Third Proportional to 3,160.69 and 5,071.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,160.69 : 5,071.78 = 5,071.78 : x
2. Step 2: Convert to fraction form
   3,160.69/5,071.78 = 5,071.78/x
3. Step 3: Cross multiply
   3,160.69x = 5,071.78 × 5,071.78
4. Step 4: Simplify right side
   3,160.69x = 25,722,965.05
5. Step 5: Solve for x
   x = 25,722,965.05/3,160.69
6. Step 6: Final answer
   x = 8,138.41