Finding the Third Proportional to 1,235.25 and 2,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,235.25 : 2,686.50 = 2,686.50 : x
2. Step 2: Convert to fraction form
   1,235.25/2,686.50 = 2,686.50/x
3. Step 3: Cross multiply
   1,235.25x = 2,686.50 × 2,686.50
4. Step 4: Simplify right side
   1,235.25x = 7,217,282.25
5. Step 5: Solve for x
   x = 7,217,282.25/1,235.25
6. Step 6: Final answer
   x = 5,842.77