Finding the Third Proportional to 1,599.75 and 3,494.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,599.75 : 3,494.25 = 3,494.25 : x
2. Step 2: Convert to fraction form
   1,599.75/3,494.25 = 3,494.25/x
3. Step 3: Cross multiply
   1,599.75x = 3,494.25 × 3,494.25
4. Step 4: Simplify right side
   1,599.75x = 12,209,783.06
5. Step 5: Solve for x
   x = 12,209,783.06/1,599.75
6. Step 6: Final answer
   x = 7,632.31