Finding the Third Proportional to 12,177 and 17,239.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,177 : 17,239.50 = 17,239.50 : x
2. Step 2: Convert to fraction form
   12,177/17,239.50 = 17,239.50/x
3. Step 3: Cross multiply
   12,177x = 17,239.50 × 17,239.50
4. Step 4: Simplify right side
   12,177x = 297,200,360.25
5. Step 5: Solve for x
   x = 297,200,360.25/12,177
6. Step 6: Final answer
   x = 24,406.70