Finding the Third Proportional to 2,597.06 and 5,620.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.06 : 5,620.64 = 5,620.64 : x
2. Step 2: Convert to fraction form
   2,597.06/5,620.64 = 5,620.64/x
3. Step 3: Cross multiply
   2,597.06x = 5,620.64 × 5,620.64
4. Step 4: Simplify right side
   2,597.06x = 31,591,601.04
5. Step 5: Solve for x
   x = 31,591,601.04/2,597.06
6. Step 6: Final answer
   x = 12,164.36