Finding the Third Proportional to 5,498.25 and 7,422.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,498.25 : 7,422.75 = 7,422.75 : x
2. Step 2: Convert to fraction form
   5,498.25/7,422.75 = 7,422.75/x
3. Step 3: Cross multiply
   5,498.25x = 7,422.75 × 7,422.75
4. Step 4: Simplify right side
   5,498.25x = 55,097,217.56
5. Step 5: Solve for x
   x = 55,097,217.56/5,498.25
6. Step 6: Final answer
   x = 10,020.86