Finding the Third Proportional to 2,235.25 and 5,196.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,235.25 : 5,196.75 = 5,196.75 : x
2. Step 2: Convert to fraction form
   2,235.25/5,196.75 = 5,196.75/x
3. Step 3: Cross multiply
   2,235.25x = 5,196.75 × 5,196.75
4. Step 4: Simplify right side
   2,235.25x = 27,006,210.56
5. Step 5: Solve for x
   x = 27,006,210.56/2,235.25
6. Step 6: Final answer
   x = 12,081.96