Finding the Third Proportional to 3,180 and 7,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,180 : 7,540.50 = 7,540.50 : x
2. Step 2: Convert to fraction form
   3,180/7,540.50 = 7,540.50/x
3. Step 3: Cross multiply
   3,180x = 7,540.50 × 7,540.50
4. Step 4: Simplify right side
   3,180x = 56,859,140.25
5. Step 5: Solve for x
   x = 56,859,140.25/3,180
6. Step 6: Final answer
   x = 17,880.23