Finding the Third Proportional to 2,180 and 3,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,180 : 3,114.50 = 3,114.50 : x
2. Step 2: Convert to fraction form
   2,180/3,114.50 = 3,114.50/x
3. Step 3: Cross multiply
   2,180x = 3,114.50 × 3,114.50
4. Step 4: Simplify right side
   2,180x = 9,700,110.25
5. Step 5: Solve for x
   x = 9,700,110.25/2,180
6. Step 6: Final answer
   x = 4,449.59