Finding the Third Proportional to 3,151 and 3,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,151 : 3,578.50 = 3,578.50 : x
2. Step 2: Convert to fraction form
   3,151/3,578.50 = 3,578.50/x
3. Step 3: Cross multiply
   3,151x = 3,578.50 × 3,578.50
4. Step 4: Simplify right side
   3,151x = 12,805,662.25
5. Step 5: Solve for x
   x = 12,805,662.25/3,151
6. Step 6: Final answer
   x = 4,064.00