Finding the Third Proportional to 2,611.50 and 5,496.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,611.50 : 5,496.75 = 5,496.75 : x
2. Step 2: Convert to fraction form
   2,611.50/5,496.75 = 5,496.75/x
3. Step 3: Cross multiply
   2,611.50x = 5,496.75 × 5,496.75
4. Step 4: Simplify right side
   2,611.50x = 30,214,260.56
5. Step 5: Solve for x
   x = 30,214,260.56/2,611.50
6. Step 6: Final answer
   x = 11,569.70