Finding the Third Proportional to 2,706.75 and 3,798.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.75 : 3,798.56 = 3,798.56 : x
2. Step 2: Convert to fraction form
   2,706.75/3,798.56 = 3,798.56/x
3. Step 3: Cross multiply
   2,706.75x = 3,798.56 × 3,798.56
4. Step 4: Simplify right side
   2,706.75x = 14,429,077.07
5. Step 5: Solve for x
   x = 14,429,077.07/2,706.75
6. Step 6: Final answer
   x = 5,330.78