Finding the Third Proportional to 16,905 and 37,185

Step by Step Solution

1. Step 1: Write the proportion equation
   16,905 : 37,185 = 37,185 : x
2. Step 2: Convert to fraction form
   16,905/37,185 = 37,185/x
3. Step 3: Cross multiply
   16,905x = 37,185 × 37,185
4. Step 4: Simplify right side
   16,905x = 1,382,724,225
5. Step 5: Solve for x
   x = 1,382,724,225/16,905
6. Step 6: Final answer
   x = 81,793.80