Finding the Third Proportional to 2,294.58 and 3,436.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,294.58 : 3,436.80 = 3,436.80 : x
2. Step 2: Convert to fraction form
   2,294.58/3,436.80 = 3,436.80/x
3. Step 3: Cross multiply
   2,294.58x = 3,436.80 × 3,436.80
4. Step 4: Simplify right side
   2,294.58x = 11,811,626.46
5. Step 5: Solve for x
   x = 11,811,626.46/2,294.58
6. Step 6: Final answer
   x = 5,147.62