Finding the Third Proportional to 2,178.50 and 3,319.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.50 : 3,319.25 = 3,319.25 : x
2. Step 2: Convert to fraction form
   2,178.50/3,319.25 = 3,319.25/x
3. Step 3: Cross multiply
   2,178.50x = 3,319.25 × 3,319.25
4. Step 4: Simplify right side
   2,178.50x = 11,017,420.56
5. Step 5: Solve for x
   x = 11,017,420.56/2,178.50
6. Step 6: Final answer
   x = 5,057.34