Finding the Third Proportional to 2,794.50 and 3,706.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,794.50 : 3,706.75 = 3,706.75 : x
2. Step 2: Convert to fraction form
   2,794.50/3,706.75 = 3,706.75/x
3. Step 3: Cross multiply
   2,794.50x = 3,706.75 × 3,706.75
4. Step 4: Simplify right side
   2,794.50x = 13,739,995.56
5. Step 5: Solve for x
   x = 13,739,995.56/2,794.50
6. Step 6: Final answer
   x = 4,916.80