Finding the Third Proportional to 3,704 and 5,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,704 : 5,209.50 = 5,209.50 : x
2. Step 2: Convert to fraction form
   3,704/5,209.50 = 5,209.50/x
3. Step 3: Cross multiply
   3,704x = 5,209.50 × 5,209.50
4. Step 4: Simplify right side
   3,704x = 27,138,890.25
5. Step 5: Solve for x
   x = 27,138,890.25/3,704
6. Step 6: Final answer
   x = 7,326.91