Finding the Third Proportional to 1,730.50 and 2,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,730.50 : 2,036.50 = 2,036.50 : x
2. Step 2: Convert to fraction form
   1,730.50/2,036.50 = 2,036.50/x
3. Step 3: Cross multiply
   1,730.50x = 2,036.50 × 2,036.50
4. Step 4: Simplify right side
   1,730.50x = 4,147,332.25
5. Step 5: Solve for x
   x = 4,147,332.25/1,730.50
6. Step 6: Final answer
   x = 2,396.61