Finding the Third Proportional to 2,614 and 5,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614 : 5,628.50 = 5,628.50 : x
2. Step 2: Convert to fraction form
   2,614/5,628.50 = 5,628.50/x
3. Step 3: Cross multiply
   2,614x = 5,628.50 × 5,628.50
4. Step 4: Simplify right side
   2,614x = 31,680,012.25
5. Step 5: Solve for x
   x = 31,680,012.25/2,614
6. Step 6: Final answer
   x = 12,119.36