Finding the Third Proportional to 2,664 and 5,796.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,664 : 5,796.38 = 5,796.38 : x
2. Step 2: Convert to fraction form
   2,664/5,796.38 = 5,796.38/x
3. Step 3: Cross multiply
   2,664x = 5,796.38 × 5,796.38
4. Step 4: Simplify right side
   2,664x = 33,597,963.14
5. Step 5: Solve for x
   x = 33,597,963.14/2,664
6. Step 6: Final answer
   x = 12,611.85