Finding the Third Proportional to 3,412.50 and 5,217.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,412.50 : 5,217.38 = 5,217.38 : x
2. Step 2: Convert to fraction form
   3,412.50/5,217.38 = 5,217.38/x
3. Step 3: Cross multiply
   3,412.50x = 5,217.38 × 5,217.38
4. Step 4: Simplify right side
   3,412.50x = 27,221,001.89
5. Step 5: Solve for x
   x = 27,221,001.89/3,412.50
6. Step 6: Final answer
   x = 7,976.85