Finding the Third Proportional to 5,891.25 and 12,822.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,891.25 : 12,822.75 = 12,822.75 : x
2. Step 2: Convert to fraction form
   5,891.25/12,822.75 = 12,822.75/x
3. Step 3: Cross multiply
   5,891.25x = 12,822.75 × 12,822.75
4. Step 4: Simplify right side
   5,891.25x = 164,422,917.56
5. Step 5: Solve for x
   x = 164,422,917.56/5,891.25
6. Step 6: Final answer
   x = 27,909.68