Finding the Third Proportional to 2,815.50 and 6,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,815.50 : 6,171.50 = 6,171.50 : x
2. Step 2: Convert to fraction form
   2,815.50/6,171.50 = 6,171.50/x
3. Step 3: Cross multiply
   2,815.50x = 6,171.50 × 6,171.50
4. Step 4: Simplify right side
   2,815.50x = 38,087,412.25
5. Step 5: Solve for x
   x = 38,087,412.25/2,815.50
6. Step 6: Final answer
   x = 13,527.76