Finding the Third Proportional to 17,673 and 37,164

Step by Step Solution

1. Step 1: Write the proportion equation
   17,673 : 37,164 = 37,164 : x
2. Step 2: Convert to fraction form
   17,673/37,164 = 37,164/x
3. Step 3: Cross multiply
   17,673x = 37,164 × 37,164
4. Step 4: Simplify right side
   17,673x = 1,381,162,896
5. Step 5: Solve for x
   x = 1,381,162,896/17,673
6. Step 6: Final answer
   x = 78,151.02