Finding the Third Proportional to 5,262.75 and 7,581.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,262.75 : 7,581.38 = 7,581.38 : x
2. Step 2: Convert to fraction form
   5,262.75/7,581.38 = 7,581.38/x
3. Step 3: Cross multiply
   5,262.75x = 7,581.38 × 7,581.38
4. Step 4: Simplify right side
   5,262.75x = 57,477,246.89
5. Step 5: Solve for x
   x = 57,477,246.89/5,262.75
6. Step 6: Final answer
   x = 10,921.52