Finding the Third Proportional to 2,597.06 and 5,664.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.06 : 5,664.94 = 5,664.94 : x
2. Step 2: Convert to fraction form
   2,597.06/5,664.94 = 5,664.94/x
3. Step 3: Cross multiply
   2,597.06x = 5,664.94 × 5,664.94
4. Step 4: Simplify right side
   2,597.06x = 32,091,516.88
5. Step 5: Solve for x
   x = 32,091,516.88/2,597.06
6. Step 6: Final answer
   x = 12,356.85