Finding the Third Proportional to 2,813.25 and 4,196.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,813.25 : 4,196.63 = 4,196.63 : x
2. Step 2: Convert to fraction form
   2,813.25/4,196.63 = 4,196.63/x
3. Step 3: Cross multiply
   2,813.25x = 4,196.63 × 4,196.63
4. Step 4: Simplify right side
   2,813.25x = 17,611,661.39
5. Step 5: Solve for x
   x = 17,611,661.39/2,813.25
6. Step 6: Final answer
   x = 6,260.25