Finding the Third Proportional to 2,471.77 and 3,975.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,471.77 : 3,975.33 = 3,975.33 : x
2. Step 2: Convert to fraction form
   2,471.77/3,975.33 = 3,975.33/x
3. Step 3: Cross multiply
   2,471.77x = 3,975.33 × 3,975.33
4. Step 4: Simplify right side
   2,471.77x = 15,803,233.70
5. Step 5: Solve for x
   x = 15,803,233.70/2,471.77
6. Step 6: Final answer
   x = 6,393.50