Finding the Third Proportional to 2,599 and 3,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,599 : 3,494.50 = 3,494.50 : x
2. Step 2: Convert to fraction form
   2,599/3,494.50 = 3,494.50/x
3. Step 3: Cross multiply
   2,599x = 3,494.50 × 3,494.50
4. Step 4: Simplify right side
   2,599x = 12,211,530.25
5. Step 5: Solve for x
   x = 12,211,530.25/2,599
6. Step 6: Final answer
   x = 4,698.55