Finding the Third Proportional to 12,280 and 18,164

Step by Step Solution

1. Step 1: Write the proportion equation
   12,280 : 18,164 = 18,164 : x
2. Step 2: Convert to fraction form
   12,280/18,164 = 18,164/x
3. Step 3: Cross multiply
   12,280x = 18,164 × 18,164
4. Step 4: Simplify right side
   12,280x = 329,930,896
5. Step 5: Solve for x
   x = 329,930,896/12,280
6. Step 6: Final answer
   x = 26,867.34