Finding the Third Proportional to 12,180 and 17,865

Step by Step Solution

1. Step 1: Write the proportion equation
   12,180 : 17,865 = 17,865 : x
2. Step 2: Convert to fraction form
   12,180/17,865 = 17,865/x
3. Step 3: Cross multiply
   12,180x = 17,865 × 17,865
4. Step 4: Simplify right side
   12,180x = 319,158,225
5. Step 5: Solve for x
   x = 319,158,225/12,180
6. Step 6: Final answer
   x = 26,203.47