Finding the Third Proportional to 3,701 and 5,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,701 : 5,508.50 = 5,508.50 : x
2. Step 2: Convert to fraction form
   3,701/5,508.50 = 5,508.50/x
3. Step 3: Cross multiply
   3,701x = 5,508.50 × 5,508.50
4. Step 4: Simplify right side
   3,701x = 30,343,572.25
5. Step 5: Solve for x
   x = 30,343,572.25/3,701
6. Step 6: Final answer
   x = 8,198.75