Finding the Third Proportional to 2,613 and 3,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,613 : 3,797.50 = 3,797.50 : x
2. Step 2: Convert to fraction form
   2,613/3,797.50 = 3,797.50/x
3. Step 3: Cross multiply
   2,613x = 3,797.50 × 3,797.50
4. Step 4: Simplify right side
   2,613x = 14,421,006.25
5. Step 5: Solve for x
   x = 14,421,006.25/2,613
6. Step 6: Final answer
   x = 5,518.95