Finding the Third Proportional to 2,706.75 and 5,767.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.75 : 5,767.88 = 5,767.88 : x
2. Step 2: Convert to fraction form
   2,706.75/5,767.88 = 5,767.88/x
3. Step 3: Cross multiply
   2,706.75x = 5,767.88 × 5,767.88
4. Step 4: Simplify right side
   2,706.75x = 33,268,382.02
5. Step 5: Solve for x
   x = 33,268,382.02/2,706.75
6. Step 6: Final answer
   x = 12,290.90