Finding the Third Proportional to 2,695.75 and 5,892.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,695.75 : 5,892.25 = 5,892.25 : x
2. Step 2: Convert to fraction form
   2,695.75/5,892.25 = 5,892.25/x
3. Step 3: Cross multiply
   2,695.75x = 5,892.25 × 5,892.25
4. Step 4: Simplify right side
   2,695.75x = 34,718,610.06
5. Step 5: Solve for x
   x = 34,718,610.06/2,695.75
6. Step 6: Final answer
   x = 12,879.02