Finding the Third Proportional to 12,176 and 18,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,176 : 18,264.50 = 18,264.50 : x
2. Step 2: Convert to fraction form
   12,176/18,264.50 = 18,264.50/x
3. Step 3: Cross multiply
   12,176x = 18,264.50 × 18,264.50
4. Step 4: Simplify right side
   12,176x = 333,591,960.25
5. Step 5: Solve for x
   x = 333,591,960.25/12,176
6. Step 6: Final answer
   x = 27,397.50