Finding the Third Proportional to 4,945.50 and 7,692

Step by Step Solution

1. Step 1: Write the proportion equation
   4,945.50 : 7,692 = 7,692 : x
2. Step 2: Convert to fraction form
   4,945.50/7,692 = 7,692/x
3. Step 3: Cross multiply
   4,945.50x = 7,692 × 7,692
4. Step 4: Simplify right side
   4,945.50x = 59,166,864
5. Step 5: Solve for x
   x = 59,166,864/4,945.50
6. Step 6: Final answer
   x = 11,963.78