Finding the Third Proportional to 2,597.06 and 3,480.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.06 : 3,480.47 = 3,480.47 : x
2. Step 2: Convert to fraction form
   2,597.06/3,480.47 = 3,480.47/x
3. Step 3: Cross multiply
   2,597.06x = 3,480.47 × 3,480.47
4. Step 4: Simplify right side
   2,597.06x = 12,113,662.72
5. Step 5: Solve for x
   x = 12,113,662.72/2,597.06
6. Step 6: Final answer
   x = 4,664.37