Finding the Third Proportional to 1,233.88 and 2,606.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.88 : 2,606.31 = 2,606.31 : x
2. Step 2: Convert to fraction form
   1,233.88/2,606.31 = 2,606.31/x
3. Step 3: Cross multiply
   1,233.88x = 2,606.31 × 2,606.31
4. Step 4: Simplify right side
   1,233.88x = 6,792,864.85
5. Step 5: Solve for x
   x = 6,792,864.85/1,233.88
6. Step 6: Final answer
   x = 5,505.31