Finding the Third Proportional to 7,225 and 10,726

Step by Step Solution

1. Step 1: Write the proportion equation
   7,225 : 10,726 = 10,726 : x
2. Step 2: Convert to fraction form
   7,225/10,726 = 10,726/x
3. Step 3: Cross multiply
   7,225x = 10,726 × 10,726
4. Step 4: Simplify right side
   7,225x = 115,047,076
5. Step 5: Solve for x
   x = 115,047,076/7,225
6. Step 6: Final answer
   x = 15,923.47