Finding the Third Proportional to 2,627.44 and 5,664.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.44 : 5,664.94 = 5,664.94 : x
2. Step 2: Convert to fraction form
   2,627.44/5,664.94 = 5,664.94/x
3. Step 3: Cross multiply
   2,627.44x = 5,664.94 × 5,664.94
4. Step 4: Simplify right side
   2,627.44x = 32,091,516.88
5. Step 5: Solve for x
   x = 32,091,516.88/2,627.44
6. Step 6: Final answer
   x = 12,214.00