Finding the Third Proportional to 6,177 and 12,076.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,177 : 12,076.50 = 12,076.50 : x
2. Step 2: Convert to fraction form
   6,177/12,076.50 = 12,076.50/x
3. Step 3: Cross multiply
   6,177x = 12,076.50 × 12,076.50
4. Step 4: Simplify right side
   6,177x = 145,841,852.25
5. Step 5: Solve for x
   x = 145,841,852.25/6,177
6. Step 6: Final answer
   x = 23,610.47