Finding the Third Proportional to 2,035.50 and 3,456.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,035.50 : 3,456.38 = 3,456.38 : x
2. Step 2: Convert to fraction form
   2,035.50/3,456.38 = 3,456.38/x
3. Step 3: Cross multiply
   2,035.50x = 3,456.38 × 3,456.38
4. Step 4: Simplify right side
   2,035.50x = 11,946,528.14
5. Step 5: Solve for x
   x = 11,946,528.14/2,035.50
6. Step 6: Final answer
   x = 5,869.09