Finding the Third Proportional to 3,583.50 and 5,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,583.50 : 5,377.50 = 5,377.50 : x
2. Step 2: Convert to fraction form
   3,583.50/5,377.50 = 5,377.50/x
3. Step 3: Cross multiply
   3,583.50x = 5,377.50 × 5,377.50
4. Step 4: Simplify right side
   3,583.50x = 28,917,506.25
5. Step 5: Solve for x
   x = 28,917,506.25/3,583.50
6. Step 6: Final answer
   x = 8,069.63