Finding the Third Proportional to 2,705.50 and 5,759.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.50 : 5,759.75 = 5,759.75 : x
2. Step 2: Convert to fraction form
   2,705.50/5,759.75 = 5,759.75/x
3. Step 3: Cross multiply
   2,705.50x = 5,759.75 × 5,759.75
4. Step 4: Simplify right side
   2,705.50x = 33,174,720.06
5. Step 5: Solve for x
   x = 33,174,720.06/2,705.50
6. Step 6: Final answer
   x = 12,261.96