Finding the Third Proportional to 13,164 and 17,738

Step by Step Solution

1. Step 1: Write the proportion equation
   13,164 : 17,738 = 17,738 : x
2. Step 2: Convert to fraction form
   13,164/17,738 = 17,738/x
3. Step 3: Cross multiply
   13,164x = 17,738 × 17,738
4. Step 4: Simplify right side
   13,164x = 314,636,644
5. Step 5: Solve for x
   x = 314,636,644/13,164
6. Step 6: Final answer
   x = 23,901.29