Finding the Third Proportional to 753.89 and 1,599.33

Step by Step Solution

1. Step 1: Write the proportion equation
   753.89 : 1,599.33 = 1,599.33 : x
2. Step 2: Convert to fraction form
   753.89/1,599.33 = 1,599.33/x
3. Step 3: Cross multiply
   753.89x = 1,599.33 × 1,599.33
4. Step 4: Simplify right side
   753.89x = 2,557,850.45
5. Step 5: Solve for x
   x = 2,557,850.45/753.89
6. Step 6: Final answer
   x = 3,392.87