Finding the Third Proportional to 3,727 and 7,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727 : 7,759.50 = 7,759.50 : x
2. Step 2: Convert to fraction form
   3,727/7,759.50 = 7,759.50/x
3. Step 3: Cross multiply
   3,727x = 7,759.50 × 7,759.50
4. Step 4: Simplify right side
   3,727x = 60,209,840.25
5. Step 5: Solve for x
   x = 60,209,840.25/3,727
6. Step 6: Final answer
   x = 16,155.04