Finding the Third Proportional to 5,845.50 and 7,760

Step by Step Solution

1. Step 1: Write the proportion equation
   5,845.50 : 7,760 = 7,760 : x
2. Step 2: Convert to fraction form
   5,845.50/7,760 = 7,760/x
3. Step 3: Cross multiply
   5,845.50x = 7,760 × 7,760
4. Step 4: Simplify right side
   5,845.50x = 60,217,600
5. Step 5: Solve for x
   x = 60,217,600/5,845.50
6. Step 6: Final answer
   x = 10,301.53