Finding the Third Proportional to 2,478.94 and 3,706.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,478.94 : 3,706.59 = 3,706.59 : x
2. Step 2: Convert to fraction form
   2,478.94/3,706.59 = 3,706.59/x
3. Step 3: Cross multiply
   2,478.94x = 3,706.59 × 3,706.59
4. Step 4: Simplify right side
   2,478.94x = 13,738,837.23
5. Step 5: Solve for x
   x = 13,738,837.23/2,478.94
6. Step 6: Final answer
   x = 5,542.23