Finding the Third Proportional to 5,838.25 and 12,091.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,838.25 : 12,091.75 = 12,091.75 : x
2. Step 2: Convert to fraction form
   5,838.25/12,091.75 = 12,091.75/x
3. Step 3: Cross multiply
   5,838.25x = 12,091.75 × 12,091.75
4. Step 4: Simplify right side
   5,838.25x = 146,210,418.06
5. Step 5: Solve for x
   x = 146,210,418.06/5,838.25
6. Step 6: Final answer
   x = 25,043.53