Finding the Third Proportional to 5,375.25 and 7,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,375.25 : 7,222.50 = 7,222.50 : x
2. Step 2: Convert to fraction form
   5,375.25/7,222.50 = 7,222.50/x
3. Step 3: Cross multiply
   5,375.25x = 7,222.50 × 7,222.50
4. Step 4: Simplify right side
   5,375.25x = 52,164,506.25
5. Step 5: Solve for x
   x = 52,164,506.25/5,375.25
6. Step 6: Final answer
   x = 9,704.57