Finding the Third Proportional to 3,974.06 and 5,893.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,974.06 : 5,893.59 = 5,893.59 : x
2. Step 2: Convert to fraction form
   3,974.06/5,893.59 = 5,893.59/x
3. Step 3: Cross multiply
   3,974.06x = 5,893.59 × 5,893.59
4. Step 4: Simplify right side
   3,974.06x = 34,734,447.29
5. Step 5: Solve for x
   x = 34,734,447.29/3,974.06
6. Step 6: Final answer
   x = 8,740.29