Finding the Third Proportional to 16,746 and 37,164

Step by Step Solution

1. Step 1: Write the proportion equation
   16,746 : 37,164 = 37,164 : x
2. Step 2: Convert to fraction form
   16,746/37,164 = 37,164/x
3. Step 3: Cross multiply
   16,746x = 37,164 × 37,164
4. Step 4: Simplify right side
   16,746x = 1,381,162,896
5. Step 5: Solve for x
   x = 1,381,162,896/16,746
6. Step 6: Final answer
   x = 82,477.18