Finding the Third Proportional to 2,695.25 and 5,784.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,695.25 : 5,784.25 = 5,784.25 : x
2. Step 2: Convert to fraction form
   2,695.25/5,784.25 = 5,784.25/x
3. Step 3: Cross multiply
   2,695.25x = 5,784.25 × 5,784.25
4. Step 4: Simplify right side
   2,695.25x = 33,457,548.06
5. Step 5: Solve for x
   x = 33,457,548.06/2,695.25
6. Step 6: Final answer
   x = 12,413.52