Finding the Third Proportional to 2,613 and 5,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,613 : 5,746.50 = 5,746.50 : x
2. Step 2: Convert to fraction form
   2,613/5,746.50 = 5,746.50/x
3. Step 3: Cross multiply
   2,613x = 5,746.50 × 5,746.50
4. Step 4: Simplify right side
   2,613x = 33,022,262.25
5. Step 5: Solve for x
   x = 33,022,262.25/2,613
6. Step 6: Final answer
   x = 12,637.68