Finding the Third Proportional to 2,664.56 and 5,691.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,664.56 : 5,691.94 = 5,691.94 : x
2. Step 2: Convert to fraction form
   2,664.56/5,691.94 = 5,691.94/x
3. Step 3: Cross multiply
   2,664.56x = 5,691.94 × 5,691.94
4. Step 4: Simplify right side
   2,664.56x = 32,398,152.50
5. Step 5: Solve for x
   x = 32,398,152.50/2,664.56
6. Step 6: Final answer
   x = 12,158.90