Finding the Third Proportional to 2,047 and 3,160.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,047 : 3,160.50 = 3,160.50 : x
2. Step 2: Convert to fraction form
   2,047/3,160.50 = 3,160.50/x
3. Step 3: Cross multiply
   2,047x = 3,160.50 × 3,160.50
4. Step 4: Simplify right side
   2,047x = 9,988,760.25
5. Step 5: Solve for x
   x = 9,988,760.25/2,047
6. Step 6: Final answer
   x = 4,879.71