Finding the Third Proportional to 5,395.50 and 7,256.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,395.50 : 7,256.25 = 7,256.25 : x
2. Step 2: Convert to fraction form
   5,395.50/7,256.25 = 7,256.25/x
3. Step 3: Cross multiply
   5,395.50x = 7,256.25 × 7,256.25
4. Step 4: Simplify right side
   5,395.50x = 52,653,164.06
5. Step 5: Solve for x
   x = 52,653,164.06/5,395.50
6. Step 6: Final answer
   x = 9,758.72