Finding the Third Proportional to 1,233.38 and 2,664.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.38 : 2,664.38 = 2,664.38 : x
2. Step 2: Convert to fraction form
   1,233.38/2,664.38 = 2,664.38/x
3. Step 3: Cross multiply
   1,233.38x = 2,664.38 × 2,664.38
4. Step 4: Simplify right side
   1,233.38x = 7,098,894.14
5. Step 5: Solve for x
   x = 7,098,894.14/1,233.38
6. Step 6: Final answer
   x = 5,755.67