Finding the Third Proportional to 5,538 and 7,460.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538 : 7,460.25 = 7,460.25 : x
2. Step 2: Convert to fraction form
   5,538/7,460.25 = 7,460.25/x
3. Step 3: Cross multiply
   5,538x = 7,460.25 × 7,460.25
4. Step 4: Simplify right side
   5,538x = 55,655,330.06
5. Step 5: Solve for x
   x = 55,655,330.06/5,538
6. Step 6: Final answer
   x = 10,049.72