Finding the Third Proportional to 5,145.38 and 7,755.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,145.38 : 7,755.56 = 7,755.56 : x
2. Step 2: Convert to fraction form
   5,145.38/7,755.56 = 7,755.56/x
3. Step 3: Cross multiply
   5,145.38x = 7,755.56 × 7,755.56
4. Step 4: Simplify right side
   5,145.38x = 60,148,749.69
5. Step 5: Solve for x
   x = 60,148,749.69/5,145.38
6. Step 6: Final answer
   x = 11,689.87