Finding the Third Proportional to 2,826 and 7,422.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,826 : 7,422.75 = 7,422.75 : x
2. Step 2: Convert to fraction form
   2,826/7,422.75 = 7,422.75/x
3. Step 3: Cross multiply
   2,826x = 7,422.75 × 7,422.75
4. Step 4: Simplify right side
   2,826x = 55,097,217.56
5. Step 5: Solve for x
   x = 55,097,217.56/2,826
6. Step 6: Final answer
   x = 19,496.54