Finding the Third Proportional to 3,679.50 and 5,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,679.50 : 5,854.50 = 5,854.50 : x
2. Step 2: Convert to fraction form
   3,679.50/5,854.50 = 5,854.50/x
3. Step 3: Cross multiply
   3,679.50x = 5,854.50 × 5,854.50
4. Step 4: Simplify right side
   3,679.50x = 34,275,170.25
5. Step 5: Solve for x
   x = 34,275,170.25/3,679.50
6. Step 6: Final answer
   x = 9,315.17